Wolfram Researchfunctions.wolfram.comOther Wolfram Sites
Search Site
Function CategoriesGraphics GalleryNotationsGeneral IdentitiesAbout This Site Email Comments

View Related Information In
The Documentation Center
MathWorld

Download All Formulas For This Function
Mathematica Notebook
PDF File

Download All Introductions For This Function
Mathematica Notebook
PDF File

 

Developed with Mathematica -- Download a Free Trial Version
 











Cos






Mathematica Notation

Traditional Notation









Elementary Functions > Cos[z] > Integration > Indefinite integration > Involving one direct function and elementary functions > Involving exponential function and a power function > Involving exp and power > Involving zalpha-1eb zrcos(c zr+g)





http://functions.wolfram.com/01.07.21.0427.01









  


  










Input Form





Integrate[z^5 E^(b Sqrt[z]) Cos[c Sqrt[z] + g], z] == (1/(b^2 + c^2)^12) (2 E^(b Sqrt[z]) ((-39916800 (b^12 - 66 b^10 c^2 + 495 b^8 c^4 - 924 b^6 c^6 + 495 b^4 c^8 - 66 b^2 c^10 + c^12) + 39916800 b (b^2 + c^2) (b^10 - 55 b^8 c^2 + 330 b^6 c^4 - 462 b^4 c^6 + 165 b^2 c^8 - 11 c^10) Sqrt[z] - 19958400 (b^2 + c^2)^2 (b^10 - 45 b^8 c^2 + 210 b^6 c^4 - 210 b^4 c^6 + 45 b^2 c^8 - c^10) z + 6652800 b (b^2 + c^2)^3 (b^8 - 36 b^6 c^2 + 126 b^4 c^4 - 84 b^2 c^6 + 9 c^8) z^(3/2) - 1663200 (b^2 + c^2)^4 (b^8 - 28 b^6 c^2 + 70 b^4 c^4 - 28 b^2 c^6 + c^8) z^2 + 332640 b (b^2 + c^2)^5 (b^6 - 21 b^4 c^2 + 35 b^2 c^4 - 7 c^6) z^(5/2) - 55440 (b^2 + c^2)^6 (b^6 - 15 b^4 c^2 + 15 b^2 c^4 - c^6) z^3 + 7920 b (b^2 + c^2)^7 (b^4 - 10 b^2 c^2 + 5 c^4) z^(7/2) - 990 (b^2 + c^2)^8 (b^4 - 6 b^2 c^2 + c^4) z^4 + 110 b (b^2 - 3 c^2) (b^2 + c^2)^9 z^(9/2) - 11 (b - c) (b + c) (b^2 + c^2)^10 z^5 + b (b^2 + c^2)^11 z^(11/2)) Cos[g + c Sqrt[z]] + c (-159667200 b (3 b^10 - 55 b^8 c^2 + 198 b^6 c^4 - 198 b^4 c^6 + 55 b^2 c^8 - 3 c^10) + 39916800 (b^2 + c^2) (11 b^10 - 165 b^8 c^2 + 462 b^6 c^4 - 330 b^4 c^6 + 55 b^2 c^8 - c^10) Sqrt[z] - 39916800 b (b^2 + c^2)^2 (5 b^4 - 10 b^2 c^2 + c^4) (b^4 - 10 b^2 c^2 + 5 c^4) z + 6652800 (b^2 + c^2)^3 (9 b^8 - 84 b^6 c^2 + 126 b^4 c^4 - 36 b^2 c^6 + c^8) z^(3/2) - 13305600 b (b^2 + c^2)^4 (b^6 - 7 b^4 c^2 + 7 b^2 c^4 - c^6) z^2 + 332640 (b^2 + c^2)^5 (7 b^6 - 35 b^4 c^2 + 21 b^2 c^4 - c^6) z^(5/2) - 110880 b (b^2 + c^2)^6 (3 b^4 - 10 b^2 c^2 + 3 c^4) z^3 + 7920 (b^2 + c^2)^7 (5 b^4 - 10 b^2 c^2 + c^4) z^(7/2) - 3960 b (b - c) (b + c) (b^2 + c^2)^8 z^4 + 110 (3 b^2 - c^2) (b^2 + c^2)^9 z^(9/2) - 22 b (b^2 + c^2)^10 z^5 + (b^2 + c^2)^11 z^(11/2)) Sin[g + c Sqrt[z]]))










Standard Form





Cell[BoxData[RowBox[List[RowBox[List["\[Integral]", RowBox[List[SuperscriptBox["z", "5"], " ", SuperscriptBox["\[ExponentialE]", RowBox[List["b", " ", SqrtBox["z"]]]], RowBox[List["Cos", "[", RowBox[List[RowBox[List["c", " ", SqrtBox["z"]]], "+", "g"]], "]"]], RowBox[List["\[DifferentialD]", "z"]]]]]], "\[Equal]", RowBox[List[FractionBox["1", SuperscriptBox[RowBox[List["(", RowBox[List[SuperscriptBox["b", "2"], "+", SuperscriptBox["c", "2"]]], ")"]], "12"]], RowBox[List["(", RowBox[List["2", " ", SuperscriptBox["\[ExponentialE]", RowBox[List["b", " ", SqrtBox["z"]]]], " ", RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["-", "39916800"]], " ", RowBox[List["(", RowBox[List[SuperscriptBox["b", "12"], "-", RowBox[List["66", " ", SuperscriptBox["b", "10"], " ", SuperscriptBox["c", "2"]]], "+", RowBox[List["495", " ", SuperscriptBox["b", "8"], " ", SuperscriptBox["c", "4"]]], "-", RowBox[List["924", " ", SuperscriptBox["b", "6"], " ", SuperscriptBox["c", "6"]]], "+", RowBox[List["495", " ", SuperscriptBox["b", "4"], " ", SuperscriptBox["c", "8"]]], "-", RowBox[List["66", " ", SuperscriptBox["b", "2"], " ", SuperscriptBox["c", "10"]]], "+", SuperscriptBox["c", "12"]]], ")"]]]], "+", RowBox[List["39916800", " ", "b", " ", RowBox[List["(", RowBox[List[SuperscriptBox["b", "2"], "+", SuperscriptBox["c", "2"]]], ")"]], " ", RowBox[List["(", RowBox[List[SuperscriptBox["b", "10"], "-", RowBox[List["55", " ", SuperscriptBox["b", "8"], " ", SuperscriptBox["c", "2"]]], "+", RowBox[List["330", " ", SuperscriptBox["b", "6"], " ", SuperscriptBox["c", "4"]]], "-", RowBox[List["462", " ", SuperscriptBox["b", "4"], " ", SuperscriptBox["c", "6"]]], "+", RowBox[List["165", " ", SuperscriptBox["b", "2"], " ", SuperscriptBox["c", "8"]]], "-", RowBox[List["11", " ", SuperscriptBox["c", "10"]]]]], ")"]], " ", SqrtBox["z"]]], "-", RowBox[List["19958400", " ", SuperscriptBox[RowBox[List["(", RowBox[List[SuperscriptBox["b", "2"], "+", SuperscriptBox["c", "2"]]], ")"]], "2"], " ", RowBox[List["(", RowBox[List[SuperscriptBox["b", "10"], "-", RowBox[List["45", " ", SuperscriptBox["b", "8"], " ", SuperscriptBox["c", "2"]]], "+", RowBox[List["210", " ", SuperscriptBox["b", "6"], " ", SuperscriptBox["c", "4"]]], "-", RowBox[List["210", " ", SuperscriptBox["b", "4"], " ", SuperscriptBox["c", "6"]]], "+", RowBox[List["45", " ", SuperscriptBox["b", "2"], " ", SuperscriptBox["c", "8"]]], "-", SuperscriptBox["c", "10"]]], ")"]], " ", "z"]], "+", RowBox[List["6652800", " ", "b", " ", SuperscriptBox[RowBox[List["(", RowBox[List[SuperscriptBox["b", "2"], "+", SuperscriptBox["c", "2"]]], ")"]], "3"], " ", RowBox[List["(", RowBox[List[SuperscriptBox["b", "8"], "-", RowBox[List["36", " ", SuperscriptBox["b", "6"], " ", SuperscriptBox["c", "2"]]], "+", RowBox[List["126", " ", SuperscriptBox["b", "4"], " ", SuperscriptBox["c", "4"]]], "-", RowBox[List["84", " ", SuperscriptBox["b", "2"], " ", SuperscriptBox["c", "6"]]], "+", RowBox[List["9", " ", SuperscriptBox["c", "8"]]]]], ")"]], " ", SuperscriptBox["z", RowBox[List["3", "/", "2"]]]]], "-", RowBox[List["1663200", " ", SuperscriptBox[RowBox[List["(", RowBox[List[SuperscriptBox["b", "2"], "+", SuperscriptBox["c", "2"]]], ")"]], "4"], " ", RowBox[List["(", RowBox[List[SuperscriptBox["b", "8"], "-", RowBox[List["28", " ", SuperscriptBox["b", "6"], " ", SuperscriptBox["c", "2"]]], "+", RowBox[List["70", " ", SuperscriptBox["b", "4"], " ", SuperscriptBox["c", "4"]]], "-", RowBox[List["28", " ", SuperscriptBox["b", "2"], " ", SuperscriptBox["c", "6"]]], "+", SuperscriptBox["c", "8"]]], ")"]], " ", SuperscriptBox["z", "2"]]], "+", RowBox[List["332640", " ", "b", " ", SuperscriptBox[RowBox[List["(", RowBox[List[SuperscriptBox["b", "2"], "+", SuperscriptBox["c", "2"]]], ")"]], "5"], " ", RowBox[List["(", RowBox[List[SuperscriptBox["b", "6"], "-", RowBox[List["21", " ", SuperscriptBox["b", "4"], " ", SuperscriptBox["c", "2"]]], "+", RowBox[List["35", " ", SuperscriptBox["b", "2"], " ", SuperscriptBox["c", "4"]]], "-", RowBox[List["7", " ", SuperscriptBox["c", "6"]]]]], ")"]], " ", SuperscriptBox["z", RowBox[List["5", "/", "2"]]]]], "-", RowBox[List["55440", " ", SuperscriptBox[RowBox[List["(", RowBox[List[SuperscriptBox["b", "2"], "+", SuperscriptBox["c", "2"]]], ")"]], "6"], " ", RowBox[List["(", RowBox[List[SuperscriptBox["b", "6"], "-", RowBox[List["15", " ", SuperscriptBox["b", "4"], " ", SuperscriptBox["c", "2"]]], "+", RowBox[List["15", " ", SuperscriptBox["b", "2"], " ", SuperscriptBox["c", "4"]]], "-", SuperscriptBox["c", "6"]]], ")"]], " ", SuperscriptBox["z", "3"]]], "+", RowBox[List["7920", " ", "b", " ", SuperscriptBox[RowBox[List["(", RowBox[List[SuperscriptBox["b", "2"], "+", SuperscriptBox["c", "2"]]], ")"]], "7"], " ", RowBox[List["(", RowBox[List[SuperscriptBox["b", "4"], "-", RowBox[List["10", " ", SuperscriptBox["b", "2"], " ", SuperscriptBox["c", "2"]]], "+", RowBox[List["5", " ", SuperscriptBox["c", "4"]]]]], ")"]], " ", SuperscriptBox["z", RowBox[List["7", "/", "2"]]]]], "-", RowBox[List["990", " ", SuperscriptBox[RowBox[List["(", RowBox[List[SuperscriptBox["b", "2"], "+", SuperscriptBox["c", "2"]]], ")"]], "8"], " ", RowBox[List["(", RowBox[List[SuperscriptBox["b", "4"], "-", RowBox[List["6", " ", SuperscriptBox["b", "2"], " ", SuperscriptBox["c", "2"]]], "+", SuperscriptBox["c", "4"]]], ")"]], " ", SuperscriptBox["z", "4"]]], "+", RowBox[List["110", " ", "b", " ", RowBox[List["(", RowBox[List[SuperscriptBox["b", "2"], "-", RowBox[List["3", " ", SuperscriptBox["c", "2"]]]]], ")"]], " ", SuperscriptBox[RowBox[List["(", RowBox[List[SuperscriptBox["b", "2"], "+", SuperscriptBox["c", "2"]]], ")"]], "9"], " ", SuperscriptBox["z", RowBox[List["9", "/", "2"]]]]], "-", RowBox[List["11", " ", RowBox[List["(", RowBox[List["b", "-", "c"]], ")"]], " ", RowBox[List["(", RowBox[List["b", "+", "c"]], ")"]], " ", SuperscriptBox[RowBox[List["(", RowBox[List[SuperscriptBox["b", "2"], "+", SuperscriptBox["c", "2"]]], ")"]], "10"], " ", SuperscriptBox["z", "5"]]], "+", RowBox[List["b", " ", SuperscriptBox[RowBox[List["(", RowBox[List[SuperscriptBox["b", "2"], "+", SuperscriptBox["c", "2"]]], ")"]], "11"], " ", SuperscriptBox["z", RowBox[List["11", "/", "2"]]]]]]], ")"]], " ", RowBox[List["Cos", "[", RowBox[List["g", "+", RowBox[List["c", " ", SqrtBox["z"]]]]], "]"]]]], "+", RowBox[List["c", " ", RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["-", "159667200"]], " ", "b", " ", RowBox[List["(", RowBox[List[RowBox[List["3", " ", SuperscriptBox["b", "10"]]], "-", RowBox[List["55", " ", SuperscriptBox["b", "8"], " ", SuperscriptBox["c", "2"]]], "+", RowBox[List["198", " ", SuperscriptBox["b", "6"], " ", SuperscriptBox["c", "4"]]], "-", RowBox[List["198", " ", SuperscriptBox["b", "4"], " ", SuperscriptBox["c", "6"]]], "+", RowBox[List["55", " ", SuperscriptBox["b", "2"], " ", SuperscriptBox["c", "8"]]], "-", RowBox[List["3", " ", SuperscriptBox["c", "10"]]]]], ")"]]]], "+", RowBox[List["39916800", " ", RowBox[List["(", RowBox[List[SuperscriptBox["b", "2"], "+", SuperscriptBox["c", "2"]]], ")"]], " ", RowBox[List["(", RowBox[List[RowBox[List["11", " ", SuperscriptBox["b", "10"]]], "-", RowBox[List["165", " ", SuperscriptBox["b", "8"], " ", SuperscriptBox["c", "2"]]], "+", RowBox[List["462", " ", SuperscriptBox["b", "6"], " ", SuperscriptBox["c", "4"]]], "-", RowBox[List["330", " ", SuperscriptBox["b", "4"], " ", SuperscriptBox["c", "6"]]], "+", RowBox[List["55", " ", SuperscriptBox["b", "2"], " ", SuperscriptBox["c", "8"]]], "-", SuperscriptBox["c", "10"]]], ")"]], " ", SqrtBox["z"]]], "-", RowBox[List["39916800", " ", "b", " ", SuperscriptBox[RowBox[List["(", RowBox[List[SuperscriptBox["b", "2"], "+", SuperscriptBox["c", "2"]]], ")"]], "2"], " ", RowBox[List["(", RowBox[List[RowBox[List["5", " ", SuperscriptBox["b", "4"]]], "-", RowBox[List["10", " ", SuperscriptBox["b", "2"], " ", SuperscriptBox["c", "2"]]], "+", SuperscriptBox["c", "4"]]], ")"]], " ", RowBox[List["(", RowBox[List[SuperscriptBox["b", "4"], "-", RowBox[List["10", " ", SuperscriptBox["b", "2"], " ", SuperscriptBox["c", "2"]]], "+", RowBox[List["5", " ", SuperscriptBox["c", "4"]]]]], ")"]], " ", "z"]], "+", RowBox[List["6652800", " ", SuperscriptBox[RowBox[List["(", RowBox[List[SuperscriptBox["b", "2"], "+", SuperscriptBox["c", "2"]]], ")"]], "3"], " ", RowBox[List["(", RowBox[List[RowBox[List["9", " ", SuperscriptBox["b", "8"]]], "-", RowBox[List["84", " ", SuperscriptBox["b", "6"], " ", SuperscriptBox["c", "2"]]], "+", RowBox[List["126", " ", SuperscriptBox["b", "4"], " ", SuperscriptBox["c", "4"]]], "-", RowBox[List["36", " ", SuperscriptBox["b", "2"], " ", SuperscriptBox["c", "6"]]], "+", SuperscriptBox["c", "8"]]], ")"]], " ", SuperscriptBox["z", RowBox[List["3", "/", "2"]]]]], "-", RowBox[List["13305600", " ", "b", " ", SuperscriptBox[RowBox[List["(", RowBox[List[SuperscriptBox["b", "2"], "+", SuperscriptBox["c", "2"]]], ")"]], "4"], " ", RowBox[List["(", RowBox[List[SuperscriptBox["b", "6"], "-", RowBox[List["7", " ", SuperscriptBox["b", "4"], " ", SuperscriptBox["c", "2"]]], "+", RowBox[List["7", " ", SuperscriptBox["b", "2"], " ", SuperscriptBox["c", "4"]]], "-", SuperscriptBox["c", "6"]]], ")"]], " ", SuperscriptBox["z", "2"]]], "+", RowBox[List["332640", " ", SuperscriptBox[RowBox[List["(", RowBox[List[SuperscriptBox["b", "2"], "+", SuperscriptBox["c", "2"]]], ")"]], "5"], " ", RowBox[List["(", RowBox[List[RowBox[List["7", " ", SuperscriptBox["b", "6"]]], "-", RowBox[List["35", " ", SuperscriptBox["b", "4"], " ", SuperscriptBox["c", "2"]]], "+", RowBox[List["21", " ", SuperscriptBox["b", "2"], " ", SuperscriptBox["c", "4"]]], "-", SuperscriptBox["c", "6"]]], ")"]], " ", SuperscriptBox["z", RowBox[List["5", "/", "2"]]]]], "-", RowBox[List["110880", " ", "b", " ", SuperscriptBox[RowBox[List["(", RowBox[List[SuperscriptBox["b", "2"], "+", SuperscriptBox["c", "2"]]], ")"]], "6"], " ", RowBox[List["(", RowBox[List[RowBox[List["3", " ", SuperscriptBox["b", "4"]]], "-", RowBox[List["10", " ", SuperscriptBox["b", "2"], " ", SuperscriptBox["c", "2"]]], "+", RowBox[List["3", " ", SuperscriptBox["c", "4"]]]]], ")"]], " ", SuperscriptBox["z", "3"]]], "+", RowBox[List["7920", " ", SuperscriptBox[RowBox[List["(", RowBox[List[SuperscriptBox["b", "2"], "+", SuperscriptBox["c", "2"]]], ")"]], "7"], " ", RowBox[List["(", RowBox[List[RowBox[List["5", " ", SuperscriptBox["b", "4"]]], "-", RowBox[List["10", " ", SuperscriptBox["b", "2"], " ", SuperscriptBox["c", "2"]]], "+", SuperscriptBox["c", "4"]]], ")"]], " ", SuperscriptBox["z", RowBox[List["7", "/", "2"]]]]], "-", RowBox[List["3960", " ", "b", " ", RowBox[List["(", RowBox[List["b", "-", "c"]], ")"]], " ", RowBox[List["(", RowBox[List["b", "+", "c"]], ")"]], " ", SuperscriptBox[RowBox[List["(", RowBox[List[SuperscriptBox["b", "2"], "+", SuperscriptBox["c", "2"]]], ")"]], "8"], " ", SuperscriptBox["z", "4"]]], "+", RowBox[List["110", " ", RowBox[List["(", RowBox[List[RowBox[List["3", " ", SuperscriptBox["b", "2"]]], "-", SuperscriptBox["c", "2"]]], ")"]], " ", SuperscriptBox[RowBox[List["(", RowBox[List[SuperscriptBox["b", "2"], "+", SuperscriptBox["c", "2"]]], ")"]], "9"], " ", SuperscriptBox["z", RowBox[List["9", "/", "2"]]]]], "-", RowBox[List["22", " ", "b", " ", SuperscriptBox[RowBox[List["(", RowBox[List[SuperscriptBox["b", "2"], "+", SuperscriptBox["c", "2"]]], ")"]], "10"], " ", SuperscriptBox["z", "5"]]], "+", RowBox[List[SuperscriptBox[RowBox[List["(", RowBox[List[SuperscriptBox["b", "2"], "+", SuperscriptBox["c", "2"]]], ")"]], "11"], " ", SuperscriptBox["z", RowBox[List["11", "/", "2"]]]]]]], ")"]], " ", RowBox[List["Sin", "[", RowBox[List["g", "+", RowBox[List["c", " ", SqrtBox["z"]]]]], "]"]]]]]], ")"]]]], ")"]]]]]]]]










MathML Form







<math xmlns='http://www.w3.org/1998/Math/MathML' mathematica:form='TraditionalForm' xmlns:mathematica='http://www.wolfram.com/XML/'> <semantics> <mrow> <mrow> <mo> &#8747; </mo> <mrow> <mrow> <msup> <mi> z </mi> <mn> 5 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> &#8519; </mi> <mrow> <mi> b </mi> <mo> &#8290; </mo> <msqrt> <mi> z </mi> </msqrt> </mrow> </msup> <mo> &#8290; </mo> <mrow> <mi> cos </mi> <mo> &#8289; </mo> <mo> ( </mo> <mrow> <mrow> <msqrt> <mi> z </mi> </msqrt> <mo> &#8290; </mo> <mi> c </mi> </mrow> <mo> + </mo> <mi> g </mi> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> &#8290; </mo> <mrow> <mo> &#8518; </mo> <mi> z </mi> </mrow> </mrow> </mrow> <mo> &#10869; </mo> <mrow> <mfrac> <mn> 1 </mn> <msup> <mrow> <mo> ( </mo> <mrow> <msup> <mi> b </mi> <mn> 2 </mn> </msup> <mo> + </mo> <msup> <mi> c </mi> <mn> 2 </mn> </msup> </mrow> <mo> ) </mo> </mrow> <mn> 12 </mn> </msup> </mfrac> <mo> &#8290; </mo> <mrow> <mo> ( </mo> <mrow> <mn> 2 </mn> <mo> &#8290; </mo> <msup> <mi> &#8519; </mi> <mrow> <mi> b </mi> <mo> &#8290; </mo> <msqrt> <mi> z </mi> </msqrt> </mrow> </msup> <mo> &#8290; </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mrow> <mo> ( </mo> <mrow> <mrow> <mn> 6652800 </mn> <mo> &#8290; </mo> <mi> b </mi> <mo> &#8290; </mo> <msup> <mrow> <mo> ( </mo> <mrow> <msup> <mi> b </mi> <mn> 2 </mn> </msup> <mo> + </mo> <msup> <mi> c </mi> <mn> 2 </mn> </msup> </mrow> <mo> ) </mo> </mrow> <mn> 3 </mn> </msup> <mo> &#8290; </mo> <mrow> <mo> ( </mo> <mrow> <msup> <mi> b </mi> <mn> 8 </mn> </msup> <mo> - </mo> <mrow> <mn> 36 </mn> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 2 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> b </mi> <mn> 6 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 126 </mn> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 4 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> b </mi> <mn> 4 </mn> </msup> </mrow> <mo> - </mo> <mrow> <mn> 84 </mn> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 6 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> b </mi> <mn> 2 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 9 </mn> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 8 </mn> </msup> </mrow> </mrow> <mo> ) </mo> </mrow> <mo> &#8290; </mo> <msup> <mi> z </mi> <mrow> <mn> 3 </mn> <mo> / </mo> <mn> 2 </mn> </mrow> </msup> </mrow> <mo> + </mo> <mrow> <mn> 332640 </mn> <mo> &#8290; </mo> <mi> b </mi> <mo> &#8290; </mo> <msup> <mrow> <mo> ( </mo> <mrow> <msup> <mi> b </mi> <mn> 2 </mn> </msup> <mo> + </mo> <msup> <mi> c </mi> <mn> 2 </mn> </msup> </mrow> <mo> ) </mo> </mrow> <mn> 5 </mn> </msup> <mo> &#8290; </mo> <mrow> <mo> ( </mo> <mrow> <msup> <mi> b </mi> <mn> 6 </mn> </msup> <mo> - </mo> <mrow> <mn> 21 </mn> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 2 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> b </mi> <mn> 4 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 35 </mn> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 4 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> b </mi> <mn> 2 </mn> </msup> </mrow> <mo> - </mo> <mrow> <mn> 7 </mn> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 6 </mn> </msup> </mrow> </mrow> <mo> ) </mo> </mrow> <mo> &#8290; </mo> <msup> <mi> z </mi> <mrow> <mn> 5 </mn> <mo> / </mo> <mn> 2 </mn> </mrow> </msup> </mrow> <mo> + </mo> <mrow> <mn> 7920 </mn> <mo> &#8290; </mo> <mi> b </mi> <mo> &#8290; </mo> <msup> <mrow> <mo> ( </mo> <mrow> <msup> <mi> b </mi> <mn> 2 </mn> </msup> <mo> + </mo> <msup> <mi> c </mi> <mn> 2 </mn> </msup> </mrow> <mo> ) </mo> </mrow> <mn> 7 </mn> </msup> <mo> &#8290; </mo> <mrow> <mo> ( </mo> <mrow> <msup> <mi> b </mi> <mn> 4 </mn> </msup> <mo> - </mo> <mrow> <mn> 10 </mn> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 2 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> b </mi> <mn> 2 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 5 </mn> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 4 </mn> </msup> </mrow> </mrow> <mo> ) </mo> </mrow> <mo> &#8290; </mo> <msup> <mi> z </mi> <mrow> <mn> 7 </mn> <mo> / </mo> <mn> 2 </mn> </mrow> </msup> </mrow> <mo> + </mo> <mrow> <mn> 110 </mn> <mo> &#8290; </mo> <mi> b </mi> <mo> &#8290; </mo> <msup> <mrow> <mo> ( </mo> <mrow> <msup> <mi> b </mi> <mn> 2 </mn> </msup> <mo> + </mo> <msup> <mi> c </mi> <mn> 2 </mn> </msup> </mrow> <mo> ) </mo> </mrow> <mn> 9 </mn> </msup> <mo> &#8290; </mo> <mrow> <mo> ( </mo> <mrow> <msup> <mi> b </mi> <mn> 2 </mn> </msup> <mo> - </mo> <mrow> <mn> 3 </mn> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 2 </mn> </msup> </mrow> </mrow> <mo> ) </mo> </mrow> <mo> &#8290; </mo> <msup> <mi> z </mi> <mrow> <mn> 9 </mn> <mo> / </mo> <mn> 2 </mn> </mrow> </msup> </mrow> <mo> + </mo> <mrow> <mi> b </mi> <mo> &#8290; </mo> <msup> <mrow> <mo> ( </mo> <mrow> <msup> <mi> b </mi> <mn> 2 </mn> </msup> <mo> + </mo> <msup> <mi> c </mi> <mn> 2 </mn> </msup> </mrow> <mo> ) </mo> </mrow> <mn> 11 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> z </mi> <mrow> <mn> 11 </mn> <mo> / </mo> <mn> 2 </mn> </mrow> </msup> </mrow> <mo> - </mo> <mrow> <mn> 11 </mn> <mo> &#8290; </mo> <mrow> <mo> ( </mo> <mrow> <mi> b </mi> <mo> - </mo> <mi> c </mi> </mrow> <mo> ) </mo> </mrow> <mo> &#8290; </mo> <mrow> <mo> ( </mo> <mrow> <mi> b </mi> <mo> + </mo> <mi> c </mi> </mrow> <mo> ) </mo> </mrow> <mo> &#8290; </mo> <msup> <mrow> <mo> ( </mo> <mrow> <msup> <mi> b </mi> <mn> 2 </mn> </msup> <mo> + </mo> <msup> <mi> c </mi> <mn> 2 </mn> </msup> </mrow> <mo> ) </mo> </mrow> <mn> 10 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 5 </mn> </msup> </mrow> <mo> - </mo> <mrow> <mn> 990 </mn> <mo> &#8290; </mo> <msup> <mrow> <mo> ( </mo> <mrow> <msup> <mi> b </mi> <mn> 2 </mn> </msup> <mo> + </mo> <msup> <mi> c </mi> <mn> 2 </mn> </msup> </mrow> <mo> ) </mo> </mrow> <mn> 8 </mn> </msup> <mo> &#8290; </mo> <mrow> <mo> ( </mo> <mrow> <msup> <mi> b </mi> <mn> 4 </mn> </msup> <mo> - </mo> <mrow> <mn> 6 </mn> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 2 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> b </mi> <mn> 2 </mn> </msup> </mrow> <mo> + </mo> <msup> <mi> c </mi> <mn> 4 </mn> </msup> </mrow> <mo> ) </mo> </mrow> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 4 </mn> </msup> </mrow> <mo> - </mo> <mrow> <mn> 55440 </mn> <mo> &#8290; </mo> <msup> <mrow> <mo> ( </mo> <mrow> <msup> <mi> b </mi> <mn> 2 </mn> </msup> <mo> + </mo> <msup> <mi> c </mi> <mn> 2 </mn> </msup> </mrow> <mo> ) </mo> </mrow> <mn> 6 </mn> </msup> <mo> &#8290; </mo> <mrow> <mo> ( </mo> <mrow> <msup> <mi> b </mi> <mn> 6 </mn> </msup> <mo> - </mo> <mrow> <mn> 15 </mn> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 2 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> b </mi> <mn> 4 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 15 </mn> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 4 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> b </mi> <mn> 2 </mn> </msup> </mrow> <mo> - </mo> <msup> <mi> c </mi> <mn> 6 </mn> </msup> </mrow> <mo> ) </mo> </mrow> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 3 </mn> </msup> </mrow> <mo> - </mo> <mrow> <mn> 1663200 </mn> <mo> &#8290; </mo> <msup> <mrow> <mo> ( </mo> <mrow> <msup> <mi> b </mi> <mn> 2 </mn> </msup> <mo> + </mo> <msup> <mi> c </mi> <mn> 2 </mn> </msup> </mrow> <mo> ) </mo> </mrow> <mn> 4 </mn> </msup> <mo> &#8290; </mo> <mrow> <mo> ( </mo> <mrow> <msup> <mi> b </mi> <mn> 8 </mn> </msup> <mo> - </mo> <mrow> <mn> 28 </mn> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 2 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> b </mi> <mn> 6 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 70 </mn> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 4 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> b </mi> <mn> 4 </mn> </msup> </mrow> <mo> - </mo> <mrow> <mn> 28 </mn> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 6 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> b </mi> <mn> 2 </mn> </msup> </mrow> <mo> + </mo> <msup> <mi> c </mi> <mn> 8 </mn> </msup> </mrow> <mo> ) </mo> </mrow> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> </mrow> <mo> - </mo> <mrow> <mn> 19958400 </mn> <mo> &#8290; </mo> <msup> <mrow> <mo> ( </mo> <mrow> <msup> <mi> b </mi> <mn> 2 </mn> </msup> <mo> + </mo> <msup> <mi> c </mi> <mn> 2 </mn> </msup> </mrow> <mo> ) </mo> </mrow> <mn> 2 </mn> </msup> <mo> &#8290; </mo> <mrow> <mo> ( </mo> <mrow> <msup> <mi> b </mi> <mn> 10 </mn> </msup> <mo> - </mo> <mrow> <mn> 45 </mn> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 2 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> b </mi> <mn> 8 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 210 </mn> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 4 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> b </mi> <mn> 6 </mn> </msup> </mrow> <mo> - </mo> <mrow> <mn> 210 </mn> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 6 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> b </mi> <mn> 4 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 45 </mn> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 8 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> b </mi> <mn> 2 </mn> </msup> </mrow> <mo> - </mo> <msup> <mi> c </mi> <mn> 10 </mn> </msup> </mrow> <mo> ) </mo> </mrow> <mo> &#8290; </mo> <mi> z </mi> </mrow> <mo> + </mo> <mrow> <mn> 39916800 </mn> <mo> &#8290; </mo> <mi> b </mi> <mo> &#8290; </mo> <mrow> <mo> ( </mo> <mrow> <msup> <mi> b </mi> <mn> 2 </mn> </msup> <mo> + </mo> <msup> <mi> c </mi> <mn> 2 </mn> </msup> </mrow> <mo> ) </mo> </mrow> <mo> &#8290; </mo> <mrow> <mo> ( </mo> <mrow> <msup> <mi> b </mi> <mn> 10 </mn> </msup> <mo> - </mo> <mrow> <mn> 55 </mn> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 2 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> b </mi> <mn> 8 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 330 </mn> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 4 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> b </mi> <mn> 6 </mn> </msup> </mrow> <mo> - </mo> <mrow> <mn> 462 </mn> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 6 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> b </mi> <mn> 4 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 165 </mn> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 8 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> b </mi> <mn> 2 </mn> </msup> </mrow> <mo> - </mo> <mrow> <mn> 11 </mn> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 10 </mn> </msup> </mrow> </mrow> <mo> ) </mo> </mrow> <mo> &#8290; </mo> <msqrt> <mi> z </mi> </msqrt> </mrow> <mo> - </mo> <mrow> <mn> 39916800 </mn> <mo> &#8290; </mo> <mrow> <mo> ( </mo> <mrow> <msup> <mi> b </mi> <mn> 12 </mn> </msup> <mo> - </mo> <mrow> <mn> 66 </mn> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 2 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> b </mi> <mn> 10 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 495 </mn> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 4 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> b </mi> <mn> 8 </mn> </msup> </mrow> <mo> - </mo> <mrow> <mn> 924 </mn> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 6 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> b </mi> <mn> 6 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 495 </mn> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 8 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> b </mi> <mn> 4 </mn> </msup> </mrow> <mo> - </mo> <mrow> <mn> 66 </mn> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 10 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> b </mi> <mn> 2 </mn> </msup> </mrow> <mo> + </mo> <msup> <mi> c </mi> <mn> 12 </mn> </msup> </mrow> <mo> ) </mo> </mrow> </mrow> </mrow> <mo> ) </mo> </mrow> <mo> &#8290; </mo> <mrow> <mi> cos </mi> <mo> &#8289; </mo> <mo> ( </mo> <mrow> <mrow> <msqrt> <mi> z </mi> </msqrt> <mo> &#8290; </mo> <mi> c </mi> </mrow> <mo> + </mo> <mi> g </mi> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> + </mo> <mrow> <mi> c </mi> <mo> &#8290; </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mn> 6652800 </mn> <mo> &#8290; </mo> <msup> <mrow> <mo> ( </mo> <mrow> <msup> <mi> b </mi> <mn> 2 </mn> </msup> <mo> + </mo> <msup> <mi> c </mi> <mn> 2 </mn> </msup> </mrow> <mo> ) </mo> </mrow> <mn> 3 </mn> </msup> <mo> &#8290; </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mn> 9 </mn> <mo> &#8290; </mo> <msup> <mi> b </mi> <mn> 8 </mn> </msup> </mrow> <mo> - </mo> <mrow> <mn> 84 </mn> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 2 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> b </mi> <mn> 6 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 126 </mn> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 4 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> b </mi> <mn> 4 </mn> </msup> </mrow> <mo> - </mo> <mrow> <mn> 36 </mn> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 6 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> b </mi> <mn> 2 </mn> </msup> </mrow> <mo> + </mo> <msup> <mi> c </mi> <mn> 8 </mn> </msup> </mrow> <mo> ) </mo> </mrow> <mo> &#8290; </mo> <msup> <mi> z </mi> <mrow> <mn> 3 </mn> <mo> / </mo> <mn> 2 </mn> </mrow> </msup> </mrow> <mo> + </mo> <mrow> <mn> 332640 </mn> <mo> &#8290; </mo> <msup> <mrow> <mo> ( </mo> <mrow> <msup> <mi> b </mi> <mn> 2 </mn> </msup> <mo> + </mo> <msup> <mi> c </mi> <mn> 2 </mn> </msup> </mrow> <mo> ) </mo> </mrow> <mn> 5 </mn> </msup> <mo> &#8290; </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mn> 7 </mn> <mo> &#8290; </mo> <msup> <mi> b </mi> <mn> 6 </mn> </msup> </mrow> <mo> - </mo> <mrow> <mn> 35 </mn> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 2 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> b </mi> <mn> 4 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 21 </mn> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 4 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> b </mi> <mn> 2 </mn> </msup> </mrow> <mo> - </mo> <msup> <mi> c </mi> <mn> 6 </mn> </msup> </mrow> <mo> ) </mo> </mrow> <mo> &#8290; </mo> <msup> <mi> z </mi> <mrow> <mn> 5 </mn> <mo> / </mo> <mn> 2 </mn> </mrow> </msup> </mrow> <mo> + </mo> <mrow> <mn> 7920 </mn> <mo> &#8290; </mo> <msup> <mrow> <mo> ( </mo> <mrow> <msup> <mi> b </mi> <mn> 2 </mn> </msup> <mo> + </mo> <msup> <mi> c </mi> <mn> 2 </mn> </msup> </mrow> <mo> ) </mo> </mrow> <mn> 7 </mn> </msup> <mo> &#8290; </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mn> 5 </mn> <mo> &#8290; </mo> <msup> <mi> b </mi> <mn> 4 </mn> </msup> </mrow> <mo> - </mo> <mrow> <mn> 10 </mn> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 2 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> b </mi> <mn> 2 </mn> </msup> </mrow> <mo> + </mo> <msup> <mi> c </mi> <mn> 4 </mn> </msup> </mrow> <mo> ) </mo> </mrow> <mo> &#8290; </mo> <msup> <mi> z </mi> <mrow> <mn> 7 </mn> <mo> / </mo> <mn> 2 </mn> </mrow> </msup> </mrow> <mo> + </mo> <mrow> <mn> 110 </mn> <mo> &#8290; </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mn> 3 </mn> <mo> &#8290; </mo> <msup> <mi> b </mi> <mn> 2 </mn> </msup> </mrow> <mo> - </mo> <msup> <mi> c </mi> <mn> 2 </mn> </msup> </mrow> <mo> ) </mo> </mrow> <mo> &#8290; </mo> <msup> <mrow> <mo> ( </mo> <mrow> <msup> <mi> b </mi> <mn> 2 </mn> </msup> <mo> + </mo> <msup> <mi> c </mi> <mn> 2 </mn> </msup> </mrow> <mo> ) </mo> </mrow> <mn> 9 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> z </mi> <mrow> <mn> 9 </mn> <mo> / </mo> <mn> 2 </mn> </mrow> </msup> </mrow> <mo> + </mo> <mrow> <msup> <mrow> <mo> ( </mo> <mrow> <msup> <mi> b </mi> <mn> 2 </mn> </msup> <mo> + </mo> <msup> <mi> c </mi> <mn> 2 </mn> </msup> </mrow> <mo> ) </mo> </mrow> <mn> 11 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> z </mi> <mrow> <mn> 11 </mn> <mo> / </mo> <mn> 2 </mn> </mrow> </msup> </mrow> <mo> - </mo> <mrow> <mn> 22 </mn> <mo> &#8290; </mo> <mi> b </mi> <mo> &#8290; </mo> <msup> <mrow> <mo> ( </mo> <mrow> <msup> <mi> b </mi> <mn> 2 </mn> </msup> <mo> + </mo> <msup> <mi> c </mi> <mn> 2 </mn> </msup> </mrow> <mo> ) </mo> </mrow> <mn> 10 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 5 </mn> </msup> </mrow> <mo> - </mo> <mrow> <mn> 3960 </mn> <mo> &#8290; </mo> <mi> b </mi> <mo> &#8290; </mo> <mrow> <mo> ( </mo> <mrow> <mi> b </mi> <mo> - </mo> <mi> c </mi> </mrow> <mo> ) </mo> </mrow> <mo> &#8290; </mo> <mrow> <mo> ( </mo> <mrow> <mi> b </mi> <mo> + </mo> <mi> c </mi> </mrow> <mo> ) </mo> </mrow> <mo> &#8290; </mo> <msup> <mrow> <mo> ( </mo> <mrow> <msup> <mi> b </mi> <mn> 2 </mn> </msup> <mo> + </mo> <msup> <mi> c </mi> <mn> 2 </mn> </msup> </mrow> <mo> ) </mo> </mrow> <mn> 8 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 4 </mn> </msup> </mrow> <mo> - </mo> <mrow> <mn> 110880 </mn> <mo> &#8290; </mo> <mi> b </mi> <mo> &#8290; </mo> <msup> <mrow> <mo> ( </mo> <mrow> <msup> <mi> b </mi> <mn> 2 </mn> </msup> <mo> + </mo> <msup> <mi> c </mi> <mn> 2 </mn> </msup> </mrow> <mo> ) </mo> </mrow> <mn> 6 </mn> </msup> <mo> &#8290; </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mn> 3 </mn> <mo> &#8290; </mo> <msup> <mi> b </mi> <mn> 4 </mn> </msup> </mrow> <mo> - </mo> <mrow> <mn> 10 </mn> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 2 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> b </mi> <mn> 2 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 3 </mn> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 4 </mn> </msup> </mrow> </mrow> <mo> ) </mo> </mrow> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 3 </mn> </msup> </mrow> <mo> - </mo> <mrow> <mn> 13305600 </mn> <mo> &#8290; </mo> <mi> b </mi> <mo> &#8290; </mo> <msup> <mrow> <mo> ( </mo> <mrow> <msup> <mi> b </mi> <mn> 2 </mn> </msup> <mo> + </mo> <msup> <mi> c </mi> <mn> 2 </mn> </msup> </mrow> <mo> ) </mo> </mrow> <mn> 4 </mn> </msup> <mo> &#8290; </mo> <mrow> <mo> ( </mo> <mrow> <msup> <mi> b </mi> <mn> 6 </mn> </msup> <mo> - </mo> <mrow> <mn> 7 </mn> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 2 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> b </mi> <mn> 4 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 7 </mn> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 4 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> b </mi> <mn> 2 </mn> </msup> </mrow> <mo> - </mo> <msup> <mi> c </mi> <mn> 6 </mn> </msup> </mrow> <mo> ) </mo> </mrow> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> </mrow> <mo> - </mo> <mrow> <mn> 39916800 </mn> <mo> &#8290; </mo> <mi> b </mi> <mo> &#8290; </mo> <msup> <mrow> <mo> ( </mo> <mrow> <msup> <mi> b </mi> <mn> 2 </mn> </msup> <mo> + </mo> <msup> <mi> c </mi> <mn> 2 </mn> </msup> </mrow> <mo> ) </mo> </mrow> <mn> 2 </mn> </msup> <mo> &#8290; </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mn> 5 </mn> <mo> &#8290; </mo> <msup> <mi> b </mi> <mn> 4 </mn> </msup> </mrow> <mo> - </mo> <mrow> <mn> 10 </mn> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 2 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> b </mi> <mn> 2 </mn> </msup> </mrow> <mo> + </mo> <msup> <mi> c </mi> <mn> 4 </mn> </msup> </mrow> <mo> ) </mo> </mrow> <mo> &#8290; </mo> <mrow> <mo> ( </mo> <mrow> <msup> <mi> b </mi> <mn> 4 </mn> </msup> <mo> - </mo> <mrow> <mn> 10 </mn> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 2 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> b </mi> <mn> 2 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 5 </mn> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 4 </mn> </msup> </mrow> </mrow> <mo> ) </mo> </mrow> <mo> &#8290; </mo> <mi> z </mi> </mrow> <mo> + </mo> <mrow> <mn> 39916800 </mn> <mo> &#8290; </mo> <mrow> <mo> ( </mo> <mrow> <msup> <mi> b </mi> <mn> 2 </mn> </msup> <mo> + </mo> <msup> <mi> c </mi> <mn> 2 </mn> </msup> </mrow> <mo> ) </mo> </mrow> <mo> &#8290; </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mn> 11 </mn> <mo> &#8290; </mo> <msup> <mi> b </mi> <mn> 10 </mn> </msup> </mrow> <mo> - </mo> <mrow> <mn> 165 </mn> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 2 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> b </mi> <mn> 8 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 462 </mn> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 4 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> b </mi> <mn> 6 </mn> </msup> </mrow> <mo> - </mo> <mrow> <mn> 330 </mn> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 6 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> b </mi> <mn> 4 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 55 </mn> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 8 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> b </mi> <mn> 2 </mn> </msup> </mrow> <mo> - </mo> <msup> <mi> c </mi> <mn> 10 </mn> </msup> </mrow> <mo> ) </mo> </mrow> <mo> &#8290; </mo> <msqrt> <mi> z </mi> </msqrt> </mrow> <mo> - </mo> <mrow> <mn> 159667200 </mn> <mo> &#8290; </mo> <mi> b </mi> <mo> &#8290; </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mn> 3 </mn> <mo> &#8290; </mo> <msup> <mi> b </mi> <mn> 10 </mn> </msup> </mrow> <mo> - </mo> <mrow> <mn> 55 </mn> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 2 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> b </mi> <mn> 8 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 198 </mn> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 4 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> b </mi> <mn> 6 </mn> </msup> </mrow> <mo> - </mo> <mrow> <mn> 198 </mn> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 6 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> b </mi> <mn> 4 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 55 </mn> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 8 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> b </mi> <mn> 2 </mn> </msup> </mrow> <mo> - </mo> <mrow> <mn> 3 </mn> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 10 </mn> </msup> </mrow> </mrow> <mo> ) </mo> </mrow> </mrow> </mrow> <mo> ) </mo> </mrow> <mo> &#8290; </mo> <mrow> <mi> sin </mi> <mo> &#8289; </mo> <mo> ( </mo> <mrow> <mrow> <msqrt> <mi> z </mi> </msqrt> <mo> &#8290; </mo> <mi> c </mi> </mrow> <mo> + </mo> <mi> g </mi> </mrow> <mo> ) </mo> </mrow> </mrow> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> ) </mo> </mrow> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <apply> <int /> <bvar> <ci> z </ci> </bvar> <apply> <times /> <apply> <power /> <ci> z </ci> <cn type='integer'> 5 </cn> </apply> <apply> <power /> <exponentiale /> <apply> <times /> <ci> b </ci> <apply> <power /> <ci> z </ci> <cn type='rational'> 1 <sep /> 2 </cn> </apply> </apply> </apply> <apply> <cos /> <apply> <plus /> <apply> <times /> <apply> <power /> <ci> z </ci> <cn type='rational'> 1 <sep /> 2 </cn> </apply> <ci> c </ci> </apply> <ci> g </ci> </apply> </apply> </apply> </apply> <apply> <times /> <apply> <times /> <cn type='integer'> 1 </cn> <apply> <power /> <apply> <power /> <apply> <plus /> <apply> <power /> <ci> b </ci> <cn type='integer'> 2 </cn> </apply> <apply> <power /> <ci> c </ci> <cn type='integer'> 2 </cn> </apply> </apply> <cn type='integer'> 12 </cn> </apply> <cn type='integer'> -1 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 2 </cn> <apply> <power /> <exponentiale /> <apply> <times /> <ci> b </ci> <apply> <power /> <ci> z </ci> <cn type='rational'> 1 <sep /> 2 </cn> </apply> </apply> </apply> <apply> <plus /> <apply> <times /> <apply> <plus /> <apply> <times /> <cn type='integer'> 6652800 </cn> <ci> b </ci> <apply> <power /> <apply> <plus /> <apply> <power /> <ci> b </ci> <cn type='integer'> 2 </cn> </apply> <apply> <power /> <ci> c </ci> <cn type='integer'> 2 </cn> </apply> </apply> <cn type='integer'> 3 </cn> </apply> <apply> <plus /> <apply> <power /> <ci> b </ci> <cn type='integer'> 8 </cn> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 36 </cn> <apply> <power /> <ci> c </ci> <cn type='integer'> 2 </cn> </apply> <apply> <power /> <ci> b </ci> <cn type='integer'> 6 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 126 </cn> <apply> <power /> <ci> c </ci> <cn type='integer'> 4 </cn> </apply> <apply> <power /> <ci> b </ci> <cn type='integer'> 4 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 84 </cn> <apply> <power /> <ci> c </ci> <cn type='integer'> 6 </cn> </apply> <apply> <power /> <ci> b </ci> <cn type='integer'> 2 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 9 </cn> <apply> <power /> <ci> c </ci> <cn type='integer'> 8 </cn> </apply> </apply> </apply> <apply> <power /> <ci> z </ci> <cn type='rational'> 3 <sep /> 2 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 332640 </cn> <ci> b </ci> <apply> <power /> <apply> <plus /> <apply> <power /> <ci> b </ci> <cn type='integer'> 2 </cn> </apply> <apply> <power /> <ci> c </ci> <cn type='integer'> 2 </cn> </apply> </apply> <cn type='integer'> 5 </cn> </apply> <apply> <plus /> <apply> <power /> <ci> b </ci> <cn type='integer'> 6 </cn> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 21 </cn> <apply> <power /> <ci> c </ci> <cn type='integer'> 2 </cn> </apply> <apply> <power /> <ci> b </ci> <cn type='integer'> 4 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 35 </cn> <apply> <power /> <ci> c </ci> <cn type='integer'> 4 </cn> </apply> <apply> <power /> <ci> b </ci> <cn type='integer'> 2 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 7 </cn> <apply> <power /> <ci> c </ci> <cn type='integer'> 6 </cn> </apply> </apply> </apply> </apply> <apply> <power /> <ci> z </ci> <cn type='rational'> 5 <sep /> 2 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 7920 </cn> <ci> b </ci> <apply> <power /> <apply> <plus /> <apply> <power /> <ci> b </ci> <cn type='integer'> 2 </cn> </apply> <apply> <power /> <ci> c </ci> <cn type='integer'> 2 </cn> </apply> </apply> <cn type='integer'> 7 </cn> </apply> <apply> <plus /> <apply> <power /> <ci> b </ci> <cn type='integer'> 4 </cn> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 10 </cn> <apply> <power /> <ci> c </ci> <cn type='integer'> 2 </cn> </apply> <apply> <power /> <ci> b </ci> <cn type='integer'> 2 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 5 </cn> <apply> <power /> <ci> c </ci> <cn type='integer'> 4 </cn> </apply> </apply> </apply> <apply> <power /> <ci> z </ci> <cn type='rational'> 7 <sep /> 2 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 110 </cn> <ci> b </ci> <apply> <power /> <apply> <plus /> <apply> <power /> <ci> b </ci> <cn type='integer'> 2 </cn> </apply> <apply> <power /> <ci> c </ci> <cn type='integer'> 2 </cn> </apply> </apply> <cn type='integer'> 9 </cn> </apply> <apply> <plus /> <apply> <power /> <ci> b </ci> <cn type='integer'> 2 </cn> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 3 </cn> <apply> <power /> <ci> c </ci> <cn type='integer'> 2 </cn> </apply> </apply> </apply> </apply> <apply> <power /> <ci> z </ci> <cn type='rational'> 9 <sep /> 2 </cn> </apply> </apply> <apply> <times /> <ci> b </ci> <apply> <power /> <apply> <plus /> <apply> <power /> <ci> b </ci> <cn type='integer'> 2 </cn> </apply> <apply> <power /> <ci> c </ci> <cn type='integer'> 2 </cn> </apply> </apply> <cn type='integer'> 11 </cn> </apply> <apply> <power /> <ci> z </ci> <cn type='rational'> 11 <sep /> 2 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 11 </cn> <apply> <plus /> <ci> b </ci> <apply> <times /> <cn type='integer'> -1 </cn> <ci> c </ci> </apply> </apply> <apply> <plus /> <ci> b </ci> <ci> c </ci> </apply> <apply> <power /> <apply> <plus /> <apply> <power /> <ci> b </ci> <cn type='integer'> 2 </cn> </apply> <apply> <power /> <ci> c </ci> <cn type='integer'> 2 </cn> </apply> </apply> <cn type='integer'> 10 </cn> </apply> <apply> <power /> <ci> z </ci> <cn type='integer'> 5 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 990 </cn> <apply> <power /> <apply> <plus /> <apply> <power /> <ci> b </ci> <cn type='integer'> 2 </cn> </apply> <apply> <power /> <ci> c </ci> <cn type='integer'> 2 </cn> </apply> </apply> <cn type='integer'> 8 </cn> </apply> <apply> <plus /> <apply> <power /> <ci> b </ci> <cn type='integer'> 4 </cn> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 6 </cn> <apply> <power /> <ci> c </ci> <cn type='integer'> 2 </cn> </apply> <apply> <power /> <ci> b </ci> <cn type='integer'> 2 </cn> </apply> </apply> </apply> <apply> <power /> <ci> c </ci> <cn type='integer'> 4 </cn> </apply> </apply> <apply> <power /> <ci> z </ci> <cn type='integer'> 4 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 55440 </cn> <apply> <power /> <apply> <plus /> <apply> <power /> <ci> b </ci> <cn type='integer'> 2 </cn> </apply> <apply> <power /> <ci> c </ci> <cn type='integer'> 2 </cn> </apply> </apply> <cn type='integer'> 6 </cn> </apply> <apply> <plus /> <apply> <power /> <ci> b </ci> <cn type='integer'> 6 </cn> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 15 </cn> <apply> <power /> <ci> c </ci> <cn type='integer'> 2 </cn> </apply> <apply> <power /> <ci> b </ci> <cn type='integer'> 4 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 15 </cn> <apply> <power /> <ci> c </ci> <cn type='integer'> 4 </cn> </apply> <apply> <power /> <ci> b </ci> <cn type='integer'> 2 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <power /> <ci> c </ci> <cn type='integer'> 6 </cn> </apply> </apply> </apply> <apply> <power /> <ci> z </ci> <cn type='integer'> 3 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 1663200 </cn> <apply> <power /> <apply> <plus /> <apply> <power /> <ci> b </ci> <cn type='integer'> 2 </cn> </apply> <apply> <power /> <ci> c </ci> <cn type='integer'> 2 </cn> </apply> </apply> <cn type='integer'> 4 </cn> </apply> <apply> <plus /> <apply> <power /> <ci> b </ci> <cn type='integer'> 8 </cn> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 28 </cn> <apply> <power /> <ci> c </ci> <cn type='integer'> 2 </cn> </apply> <apply> <power /> <ci> b </ci> <cn type='integer'> 6 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 70 </cn> <apply> <power /> <ci> c </ci> <cn type='integer'> 4 </cn> </apply> <apply> <power /> <ci> b </ci> <cn type='integer'> 4 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 28 </cn> <apply> <power /> <ci> c </ci> <cn type='integer'> 6 </cn> </apply> <apply> <power /> <ci> b </ci> <cn type='integer'> 2 </cn> </apply> </apply> </apply> <apply> <power /> <ci> c </ci> <cn type='integer'> 8 </cn> </apply> </apply> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 19958400 </cn> <apply> <power /> <apply> <plus /> <apply> <power /> <ci> b </ci> <cn type='integer'> 2 </cn> </apply> <apply> <power /> <ci> c </ci> <cn type='integer'> 2 </cn> </apply> </apply> <cn type='integer'> 2 </cn> </apply> <apply> <plus /> <apply> <power /> <ci> b </ci> <cn type='integer'> 10 </cn> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 45 </cn> <apply> <power /> <ci> c </ci> <cn type='integer'> 2 </cn> </apply> <apply> <power /> <ci> b </ci> <cn type='integer'> 8 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 210 </cn> <apply> <power /> <ci> c </ci> <cn type='integer'> 4 </cn> </apply> <apply> <power /> <ci> b </ci> <cn type='integer'> 6 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 210 </cn> <apply> <power /> <ci> c </ci> <cn type='integer'> 6 </cn> </apply> <apply> <power /> <ci> b </ci> <cn type='integer'> 4 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 45 </cn> <apply> <power /> <ci> c </ci> <cn type='integer'> 8 </cn> </apply> <apply> <power /> <ci> b </ci> <cn type='integer'> 2 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <power /> <ci> c </ci> <cn type='integer'> 10 </cn> </apply> </apply> </apply> <ci> z </ci> </apply> </apply> <apply> <times /> <cn type='integer'> 39916800 </cn> <ci> b </ci> <apply> <plus /> <apply> <power /> <ci> b </ci> <cn type='integer'> 2 </cn> </apply> <apply> <power /> <ci> c </ci> <cn type='integer'> 2 </cn> </apply> </apply> <apply> <plus /> <apply> <power /> <ci> b </ci> <cn type='integer'> 10 </cn> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 55 </cn> <apply> <power /> <ci> c </ci> <cn type='integer'> 2 </cn> </apply> <apply> <power /> <ci> b </ci> <cn type='integer'> 8 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 330 </cn> <apply> <power /> <ci> c </ci> <cn type='integer'> 4 </cn> </apply> <apply> <power /> <ci> b </ci> <cn type='integer'> 6 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 462 </cn> <apply> <power /> <ci> c </ci> <cn type='integer'> 6 </cn> </apply> <apply> <power /> <ci> b </ci> <cn type='integer'> 4 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 165 </cn> <apply> <power /> <ci> c </ci> <cn type='integer'> 8 </cn> </apply> <apply> <power /> <ci> b </ci> <cn type='integer'> 2 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 11 </cn> <apply> <power /> <ci> c </ci> <cn type='integer'> 10 </cn> </apply> </apply> </apply> </apply> <apply> <power /> <ci> z </ci> <cn type='rational'> 1 <sep /> 2 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 39916800 </cn> <apply> <plus /> <apply> <power /> <ci> b </ci> <cn type='integer'> 12 </cn> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 66 </cn> <apply> <power /> <ci> c </ci> <cn type='integer'> 2 </cn> </apply> <apply> <power /> <ci> b </ci> <cn type='integer'> 10 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 495 </cn> <apply> <power /> <ci> c </ci> <cn type='integer'> 4 </cn> </apply> <apply> <power /> <ci> b </ci> <cn type='integer'> 8 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 924 </cn> <apply> <power /> <ci> c </ci> <cn type='integer'> 6 </cn> </apply> <apply> <power /> <ci> b </ci> <cn type='integer'> 6 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 495 </cn> <apply> <power /> <ci> c </ci> <cn type='integer'> 8 </cn> </apply> <apply> <power /> <ci> b </ci> <cn type='integer'> 4 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 66 </cn> <apply> <power /> <ci> c </ci> <cn type='integer'> 10 </cn> </apply> <apply> <power /> <ci> b </ci> <cn type='integer'> 2 </cn> </apply> </apply> </apply> <apply> <power /> <ci> c </ci> <cn type='integer'> 12 </cn> </apply> </apply> </apply> </apply> </apply> <apply> <cos /> <apply> <plus /> <apply> <times /> <apply> <power /> <ci> z </ci> <cn type='rational'> 1 <sep /> 2 </cn> </apply> <ci> c </ci> </apply> <ci> g </ci> </apply> </apply> </apply> <apply> <times /> <ci> c </ci> <apply> <plus /> <apply> <times /> <cn type='integer'> 6652800 </cn> <apply> <power /> <apply> <plus /> <apply> <power /> <ci> b </ci> <cn type='integer'> 2 </cn> </apply> <apply> <power /> <ci> c </ci> <cn type='integer'> 2 </cn> </apply> </apply> <cn type='integer'> 3 </cn> </apply> <apply> <plus /> <apply> <times /> <cn type='integer'> 9 </cn> <apply> <power /> <ci> b </ci> <cn type='integer'> 8 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 84 </cn> <apply> <power /> <ci> c </ci> <cn type='integer'> 2 </cn> </apply> <apply> <power /> <ci> b </ci> <cn type='integer'> 6 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 126 </cn> <apply> <power /> <ci> c </ci> <cn type='integer'> 4 </cn> </apply> <apply> <power /> <ci> b </ci> <cn type='integer'> 4 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 36 </cn> <apply> <power /> <ci> c </ci> <cn type='integer'> 6 </cn> </apply> <apply> <power /> <ci> b </ci> <cn type='integer'> 2 </cn> </apply> </apply> </apply> <apply> <power /> <ci> c </ci> <cn type='integer'> 8 </cn> </apply> </apply> <apply> <power /> <ci> z </ci> <cn type='rational'> 3 <sep /> 2 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 332640 </cn> <apply> <power /> <apply> <plus /> <apply> <power /> <ci> b </ci> <cn type='integer'> 2 </cn> </apply> <apply> <power /> <ci> c </ci> <cn type='integer'> 2 </cn> </apply> </apply> <cn type='integer'> 5 </cn> </apply> <apply> <plus /> <apply> <times /> <cn type='integer'> 7 </cn> <apply> <power /> <ci> b </ci> <cn type='integer'> 6 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 35 </cn> <apply> <power /> <ci> c </ci> <cn type='integer'> 2 </cn> </apply> <apply> <power /> <ci> b </ci> <cn type='integer'> 4 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 21 </cn> <apply> <power /> <ci> c </ci> <cn type='integer'> 4 </cn> </apply> <apply> <power /> <ci> b </ci> <cn type='integer'> 2 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <power /> <ci> c </ci> <cn type='integer'> 6 </cn> </apply> </apply> </apply> <apply> <power /> <ci> z </ci> <cn type='rational'> 5 <sep /> 2 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 7920 </cn> <apply> <power /> <apply> <plus /> <apply> <power /> <ci> b </ci> <cn type='integer'> 2 </cn> </apply> <apply> <power /> <ci> c </ci> <cn type='integer'> 2 </cn> </apply> </apply> <cn type='integer'> 7 </cn> </apply> <apply> <plus /> <apply> <times /> <cn type='integer'> 5 </cn> <apply> <power /> <ci> b </ci> <cn type='integer'> 4 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 10 </cn> <apply> <power /> <ci> c </ci> <cn type='integer'> 2 </cn> </apply> <apply> <power /> <ci> b </ci> <cn type='integer'> 2 </cn> </apply> </apply> </apply> <apply> <power /> <ci> c </ci> <cn type='integer'> 4 </cn> </apply> </apply> <apply> <power /> <ci> z </ci> <cn type='rational'> 7 <sep /> 2 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 110 </cn> <apply> <plus /> <apply> <times /> <cn type='integer'> 3 </cn> <apply> <power /> <ci> b </ci> <cn type='integer'> 2 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <power /> <ci> c </ci> <cn type='integer'> 2 </cn> </apply> </apply> </apply> <apply> <power /> <apply> <plus /> <apply> <power /> <ci> b </ci> <cn type='integer'> 2 </cn> </apply> <apply> <power /> <ci> c </ci> <cn type='integer'> 2 </cn> </apply> </apply> <cn type='integer'> 9 </cn> </apply> <apply> <power /> <ci> z </ci> <cn type='rational'> 9 <sep /> 2 </cn> </apply> </apply> <apply> <times /> <apply> <power /> <apply> <plus /> <apply> <power /> <ci> b </ci> <cn type='integer'> 2 </cn> </apply> <apply> <power /> <ci> c </ci> <cn type='integer'> 2 </cn> </apply> </apply> <cn type='integer'> 11 </cn> </apply> <apply> <power /> <ci> z </ci> <cn type='rational'> 11 <sep /> 2 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 22 </cn> <ci> b </ci> <apply> <power /> <apply> <plus /> <apply> <power /> <ci> b </ci> <cn type='integer'> 2 </cn> </apply> <apply> <power /> <ci> c </ci> <cn type='integer'> 2 </cn> </apply> </apply> <cn type='integer'> 10 </cn> </apply> <apply> <power /> <ci> z </ci> <cn type='integer'> 5 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 3960 </cn> <ci> b </ci> <apply> <plus /> <ci> b </ci> <apply> <times /> <cn type='integer'> -1 </cn> <ci> c </ci> </apply> </apply> <apply> <plus /> <ci> b </ci> <ci> c </ci> </apply> <apply> <power /> <apply> <plus /> <apply> <power /> <ci> b </ci> <cn type='integer'> 2 </cn> </apply> <apply> <power /> <ci> c </ci> <cn type='integer'> 2 </cn> </apply> </apply> <cn type='integer'> 8 </cn> </apply> <apply> <power /> <ci> z </ci> <cn type='integer'> 4 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 110880 </cn> <ci> b </ci> <apply> <power /> <apply> <plus /> <apply> <power /> <ci> b </ci> <cn type='integer'> 2 </cn> </apply> <apply> <power /> <ci> c </ci> <cn type='integer'> 2 </cn> </apply> </apply> <cn type='integer'> 6 </cn> </apply> <apply> <plus /> <apply> <times /> <cn type='integer'> 3 </cn> <apply> <power /> <ci> b </ci> <cn type='integer'> 4 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 10 </cn> <apply> <power /> <ci> c </ci> <cn type='integer'> 2 </cn> </apply> <apply> <power /> <ci> b </ci> <cn type='integer'> 2 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 3 </cn> <apply> <power /> <ci> c </ci> <cn type='integer'> 4 </cn> </apply> </apply> </apply> <apply> <power /> <ci> z </ci> <cn type='integer'> 3 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 13305600 </cn> <ci> b </ci> <apply> <power /> <apply> <plus /> <apply> <power /> <ci> b </ci> <cn type='integer'> 2 </cn> </apply> <apply> <power /> <ci> c </ci> <cn type='integer'> 2 </cn> </apply> </apply> <cn type='integer'> 4 </cn> </apply> <apply> <plus /> <apply> <power /> <ci> b </ci> <cn type='integer'> 6 </cn> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 7 </cn> <apply> <power /> <ci> c </ci> <cn type='integer'> 2 </cn> </apply> <apply> <power /> <ci> b </ci> <cn type='integer'> 4 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 7 </cn> <apply> <power /> <ci> c </ci> <cn type='integer'> 4 </cn> </apply> <apply> <power /> <ci> b </ci> <cn type='integer'> 2 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <power /> <ci> c </ci> <cn type='integer'> 6 </cn> </apply> </apply> </apply> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 39916800 </cn> <ci> b </ci> <apply> <power /> <apply> <plus /> <apply> <power /> <ci> b </ci> <cn type='integer'> 2 </cn> </apply> <apply> <power /> <ci> c </ci> <cn type='integer'> 2 </cn> </apply> </apply> <cn type='integer'> 2 </cn> </apply> <apply> <plus /> <apply> <times /> <cn type='integer'> 5 </cn> <apply> <power /> <ci> b </ci> <cn type='integer'> 4 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 10 </cn> <apply> <power /> <ci> c </ci> <cn type='integer'> 2 </cn> </apply> <apply> <power /> <ci> b </ci> <cn type='integer'> 2 </cn> </apply> </apply> </apply> <apply> <power /> <ci> c </ci> <cn type='integer'> 4 </cn> </apply> </apply> <apply> <plus /> <apply> <power /> <ci> b </ci> <cn type='integer'> 4 </cn> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 10 </cn> <apply> <power /> <ci> c </ci> <cn type='integer'> 2 </cn> </apply> <apply> <power /> <ci> b </ci> <cn type='integer'> 2 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 5 </cn> <apply> <power /> <ci> c </ci> <cn type='integer'> 4 </cn> </apply> </apply> </apply> <ci> z </ci> </apply> </apply> <apply> <times /> <cn type='integer'> 39916800 </cn> <apply> <plus /> <apply> <power /> <ci> b </ci> <cn type='integer'> 2 </cn> </apply> <apply> <power /> <ci> c </ci> <cn type='integer'> 2 </cn> </apply> </apply> <apply> <plus /> <apply> <times /> <cn type='integer'> 11 </cn> <apply> <power /> <ci> b </ci> <cn type='integer'> 10 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 165 </cn> <apply> <power /> <ci> c </ci> <cn type='integer'> 2 </cn> </apply> <apply> <power /> <ci> b </ci> <cn type='integer'> 8 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 462 </cn> <apply> <power /> <ci> c </ci> <cn type='integer'> 4 </cn> </apply> <apply> <power /> <ci> b </ci> <cn type='integer'> 6 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 330 </cn> <apply> <power /> <ci> c </ci> <cn type='integer'> 6 </cn> </apply> <apply> <power /> <ci> b </ci> <cn type='integer'> 4 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 55 </cn> <apply> <power /> <ci> c </ci> <cn type='integer'> 8 </cn> </apply> <apply> <power /> <ci> b </ci> <cn type='integer'> 2 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <power /> <ci> c </ci> <cn type='integer'> 10 </cn> </apply> </apply> </apply> <apply> <power /> <ci> z </ci> <cn type='rational'> 1 <sep /> 2 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 159667200 </cn> <ci> b </ci> <apply> <plus /> <apply> <times /> <cn type='integer'> 3 </cn> <apply> <power /> <ci> b </ci> <cn type='integer'> 10 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 55 </cn> <apply> <power /> <ci> c </ci> <cn type='integer'> 2 </cn> </apply> <apply> <power /> <ci> b </ci> <cn type='integer'> 8 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 198 </cn> <apply> <power /> <ci> c </ci> <cn type='integer'> 4 </cn> </apply> <apply> <power /> <ci> b </ci> <cn type='integer'> 6 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 198 </cn> <apply> <power /> <ci> c </ci> <cn type='integer'> 6 </cn> </apply> <apply> <power /> <ci> b </ci> <cn type='integer'> 4 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 55 </cn> <apply> <power /> <ci> c </ci> <cn type='integer'> 8 </cn> </apply> <apply> <power /> <ci> b </ci> <cn type='integer'> 2 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 3 </cn> <apply> <power /> <ci> c </ci> <cn type='integer'> 10 </cn> </apply> </apply> </apply> </apply> </apply> </apply> </apply> <apply> <sin /> <apply> <plus /> <apply> <times /> <apply> <power /> <ci> z </ci> <cn type='rational'> 1 <sep /> 2 </cn> </apply> <ci> c </ci> </apply> <ci> g </ci> </apply> </apply> </apply> </apply> </apply> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["\[Integral]", RowBox[List[RowBox[List[SuperscriptBox["z_", "5"], " ", SuperscriptBox["\[ExponentialE]", RowBox[List["b_", " ", SqrtBox["z_"]]]], " ", RowBox[List["Cos", "[", RowBox[List[RowBox[List["c_", " ", SqrtBox["z_"]]], "+", "g_"]], "]"]]]], RowBox[List["\[DifferentialD]", "z_"]]]]]], "]"]], "\[RuleDelayed]", FractionBox[RowBox[List["2", " ", SuperscriptBox["\[ExponentialE]", RowBox[List["b", " ", SqrtBox["z"]]]], " ", RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["-", "39916800"]], " ", RowBox[List["(", RowBox[List[SuperscriptBox["b", "12"], "-", RowBox[List["66", " ", SuperscriptBox["b", "10"], " ", SuperscriptBox["c", "2"]]], "+", RowBox[List["495", " ", SuperscriptBox["b", "8"], " ", SuperscriptBox["c", "4"]]], "-", RowBox[List["924", " ", SuperscriptBox["b", "6"], " ", SuperscriptBox["c", "6"]]], "+", RowBox[List["495", " ", SuperscriptBox["b", "4"], " ", SuperscriptBox["c", "8"]]], "-", RowBox[List["66", " ", SuperscriptBox["b", "2"], " ", SuperscriptBox["c", "10"]]], "+", SuperscriptBox["c", "12"]]], ")"]]]], "+", RowBox[List["39916800", " ", "b", " ", RowBox[List["(", RowBox[List[SuperscriptBox["b", "2"], "+", SuperscriptBox["c", "2"]]], ")"]], " ", RowBox[List["(", RowBox[List[SuperscriptBox["b", "10"], "-", RowBox[List["55", " ", SuperscriptBox["b", "8"], " ", SuperscriptBox["c", "2"]]], "+", RowBox[List["330", " ", SuperscriptBox["b", "6"], " ", SuperscriptBox["c", "4"]]], "-", RowBox[List["462", " ", SuperscriptBox["b", "4"], " ", SuperscriptBox["c", "6"]]], "+", RowBox[List["165", " ", SuperscriptBox["b", "2"], " ", SuperscriptBox["c", "8"]]], "-", RowBox[List["11", " ", SuperscriptBox["c", "10"]]]]], ")"]], " ", SqrtBox["z"]]], "-", RowBox[List["19958400", " ", SuperscriptBox[RowBox[List["(", RowBox[List[SuperscriptBox["b", "2"], "+", SuperscriptBox["c", "2"]]], ")"]], "2"], " ", RowBox[List["(", RowBox[List[SuperscriptBox["b", "10"], "-", RowBox[List["45", " ", SuperscriptBox["b", "8"], " ", SuperscriptBox["c", "2"]]], "+", RowBox[List["210", " ", SuperscriptBox["b", "6"], " ", SuperscriptBox["c", "4"]]], "-", RowBox[List["210", " ", SuperscriptBox["b", "4"], " ", SuperscriptBox["c", "6"]]], "+", RowBox[List["45", " ", SuperscriptBox["b", "2"], " ", SuperscriptBox["c", "8"]]], "-", SuperscriptBox["c", "10"]]], ")"]], " ", "z"]], "+", RowBox[List["6652800", " ", "b", " ", SuperscriptBox[RowBox[List["(", RowBox[List[SuperscriptBox["b", "2"], "+", SuperscriptBox["c", "2"]]], ")"]], "3"], " ", RowBox[List["(", RowBox[List[SuperscriptBox["b", "8"], "-", RowBox[List["36", " ", SuperscriptBox["b", "6"], " ", SuperscriptBox["c", "2"]]], "+", RowBox[List["126", " ", SuperscriptBox["b", "4"], " ", SuperscriptBox["c", "4"]]], "-", RowBox[List["84", " ", SuperscriptBox["b", "2"], " ", SuperscriptBox["c", "6"]]], "+", RowBox[List["9", " ", SuperscriptBox["c", "8"]]]]], ")"]], " ", SuperscriptBox["z", RowBox[List["3", "/", "2"]]]]], "-", RowBox[List["1663200", " ", SuperscriptBox[RowBox[List["(", RowBox[List[SuperscriptBox["b", "2"], "+", SuperscriptBox["c", "2"]]], ")"]], "4"], " ", RowBox[List["(", RowBox[List[SuperscriptBox["b", "8"], "-", RowBox[List["28", " ", SuperscriptBox["b", "6"], " ", SuperscriptBox["c", "2"]]], "+", RowBox[List["70", " ", SuperscriptBox["b", "4"], " ", SuperscriptBox["c", "4"]]], "-", RowBox[List["28", " ", SuperscriptBox["b", "2"], " ", SuperscriptBox["c", "6"]]], "+", SuperscriptBox["c", "8"]]], ")"]], " ", SuperscriptBox["z", "2"]]], "+", RowBox[List["332640", " ", "b", " ", SuperscriptBox[RowBox[List["(", RowBox[List[SuperscriptBox["b", "2"], "+", SuperscriptBox["c", "2"]]], ")"]], "5"], " ", RowBox[List["(", RowBox[List[SuperscriptBox["b", "6"], "-", RowBox[List["21", " ", SuperscriptBox["b", "4"], " ", SuperscriptBox["c", "2"]]], "+", RowBox[List["35", " ", SuperscriptBox["b", "2"], " ", SuperscriptBox["c", "4"]]], "-", RowBox[List["7", " ", SuperscriptBox["c", "6"]]]]], ")"]], " ", SuperscriptBox["z", RowBox[List["5", "/", "2"]]]]], "-", RowBox[List["55440", " ", SuperscriptBox[RowBox[List["(", RowBox[List[SuperscriptBox["b", "2"], "+", SuperscriptBox["c", "2"]]], ")"]], "6"], " ", RowBox[List["(", RowBox[List[SuperscriptBox["b", "6"], "-", RowBox[List["15", " ", SuperscriptBox["b", "4"], " ", SuperscriptBox["c", "2"]]], "+", RowBox[List["15", " ", SuperscriptBox["b", "2"], " ", SuperscriptBox["c", "4"]]], "-", SuperscriptBox["c", "6"]]], ")"]], " ", SuperscriptBox["z", "3"]]], "+", RowBox[List["7920", " ", "b", " ", SuperscriptBox[RowBox[List["(", RowBox[List[SuperscriptBox["b", "2"], "+", SuperscriptBox["c", "2"]]], ")"]], "7"], " ", RowBox[List["(", RowBox[List[SuperscriptBox["b", "4"], "-", RowBox[List["10", " ", SuperscriptBox["b", "2"], " ", SuperscriptBox["c", "2"]]], "+", RowBox[List["5", " ", SuperscriptBox["c", "4"]]]]], ")"]], " ", SuperscriptBox["z", RowBox[List["7", "/", "2"]]]]], "-", RowBox[List["990", " ", SuperscriptBox[RowBox[List["(", RowBox[List[SuperscriptBox["b", "2"], "+", SuperscriptBox["c", "2"]]], ")"]], "8"], " ", RowBox[List["(", RowBox[List[SuperscriptBox["b", "4"], "-", RowBox[List["6", " ", SuperscriptBox["b", "2"], " ", SuperscriptBox["c", "2"]]], "+", SuperscriptBox["c", "4"]]], ")"]], " ", SuperscriptBox["z", "4"]]], "+", RowBox[List["110", " ", "b", " ", RowBox[List["(", RowBox[List[SuperscriptBox["b", "2"], "-", RowBox[List["3", " ", SuperscriptBox["c", "2"]]]]], ")"]], " ", SuperscriptBox[RowBox[List["(", RowBox[List[SuperscriptBox["b", "2"], "+", SuperscriptBox["c", "2"]]], ")"]], "9"], " ", SuperscriptBox["z", RowBox[List["9", "/", "2"]]]]], "-", RowBox[List["11", " ", RowBox[List["(", RowBox[List["b", "-", "c"]], ")"]], " ", RowBox[List["(", RowBox[List["b", "+", "c"]], ")"]], " ", SuperscriptBox[RowBox[List["(", RowBox[List[SuperscriptBox["b", "2"], "+", SuperscriptBox["c", "2"]]], ")"]], "10"], " ", SuperscriptBox["z", "5"]]], "+", RowBox[List["b", " ", SuperscriptBox[RowBox[List["(", RowBox[List[SuperscriptBox["b", "2"], "+", SuperscriptBox["c", "2"]]], ")"]], "11"], " ", SuperscriptBox["z", RowBox[List["11", "/", "2"]]]]]]], ")"]], " ", RowBox[List["Cos", "[", RowBox[List["g", "+", RowBox[List["c", " ", SqrtBox["z"]]]]], "]"]]]], "+", RowBox[List["c", " ", RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["-", "159667200"]], " ", "b", " ", RowBox[List["(", RowBox[List[RowBox[List["3", " ", SuperscriptBox["b", "10"]]], "-", RowBox[List["55", " ", SuperscriptBox["b", "8"], " ", SuperscriptBox["c", "2"]]], "+", RowBox[List["198", " ", SuperscriptBox["b", "6"], " ", SuperscriptBox["c", "4"]]], "-", RowBox[List["198", " ", SuperscriptBox["b", "4"], " ", SuperscriptBox["c", "6"]]], "+", RowBox[List["55", " ", SuperscriptBox["b", "2"], " ", SuperscriptBox["c", "8"]]], "-", RowBox[List["3", " ", SuperscriptBox["c", "10"]]]]], ")"]]]], "+", RowBox[List["39916800", " ", RowBox[List["(", RowBox[List[SuperscriptBox["b", "2"], "+", SuperscriptBox["c", "2"]]], ")"]], " ", RowBox[List["(", RowBox[List[RowBox[List["11", " ", SuperscriptBox["b", "10"]]], "-", RowBox[List["165", " ", SuperscriptBox["b", "8"], " ", SuperscriptBox["c", "2"]]], "+", RowBox[List["462", " ", SuperscriptBox["b", "6"], " ", SuperscriptBox["c", "4"]]], "-", RowBox[List["330", " ", SuperscriptBox["b", "4"], " ", SuperscriptBox["c", "6"]]], "+", RowBox[List["55", " ", SuperscriptBox["b", "2"], " ", SuperscriptBox["c", "8"]]], "-", SuperscriptBox["c", "10"]]], ")"]], " ", SqrtBox["z"]]], "-", RowBox[List["39916800", " ", "b", " ", SuperscriptBox[RowBox[List["(", RowBox[List[SuperscriptBox["b", "2"], "+", SuperscriptBox["c", "2"]]], ")"]], "2"], " ", RowBox[List["(", RowBox[List[RowBox[List["5", " ", SuperscriptBox["b", "4"]]], "-", RowBox[List["10", " ", SuperscriptBox["b", "2"], " ", SuperscriptBox["c", "2"]]], "+", SuperscriptBox["c", "4"]]], ")"]], " ", RowBox[List["(", RowBox[List[SuperscriptBox["b", "4"], "-", RowBox[List["10", " ", SuperscriptBox["b", "2"], " ", SuperscriptBox["c", "2"]]], "+", RowBox[List["5", " ", SuperscriptBox["c", "4"]]]]], ")"]], " ", "z"]], "+", RowBox[List["6652800", " ", SuperscriptBox[RowBox[List["(", RowBox[List[SuperscriptBox["b", "2"], "+", SuperscriptBox["c", "2"]]], ")"]], "3"], " ", RowBox[List["(", RowBox[List[RowBox[List["9", " ", SuperscriptBox["b", "8"]]], "-", RowBox[List["84", " ", SuperscriptBox["b", "6"], " ", SuperscriptBox["c", "2"]]], "+", RowBox[List["126", " ", SuperscriptBox["b", "4"], " ", SuperscriptBox["c", "4"]]], "-", RowBox[List["36", " ", SuperscriptBox["b", "2"], " ", SuperscriptBox["c", "6"]]], "+", SuperscriptBox["c", "8"]]], ")"]], " ", SuperscriptBox["z", RowBox[List["3", "/", "2"]]]]], "-", RowBox[List["13305600", " ", "b", " ", SuperscriptBox[RowBox[List["(", RowBox[List[SuperscriptBox["b", "2"], "+", SuperscriptBox["c", "2"]]], ")"]], "4"], " ", RowBox[List["(", RowBox[List[SuperscriptBox["b", "6"], "-", RowBox[List["7", " ", SuperscriptBox["b", "4"], " ", SuperscriptBox["c", "2"]]], "+", RowBox[List["7", " ", SuperscriptBox["b", "2"], " ", SuperscriptBox["c", "4"]]], "-", SuperscriptBox["c", "6"]]], ")"]], " ", SuperscriptBox["z", "2"]]], "+", RowBox[List["332640", " ", SuperscriptBox[RowBox[List["(", RowBox[List[SuperscriptBox["b", "2"], "+", SuperscriptBox["c", "2"]]], ")"]], "5"], " ", RowBox[List["(", RowBox[List[RowBox[List["7", " ", SuperscriptBox["b", "6"]]], "-", RowBox[List["35", " ", SuperscriptBox["b", "4"], " ", SuperscriptBox["c", "2"]]], "+", RowBox[List["21", " ", SuperscriptBox["b", "2"], " ", SuperscriptBox["c", "4"]]], "-", SuperscriptBox["c", "6"]]], ")"]], " ", SuperscriptBox["z", RowBox[List["5", "/", "2"]]]]], "-", RowBox[List["110880", " ", "b", " ", SuperscriptBox[RowBox[List["(", RowBox[List[SuperscriptBox["b", "2"], "+", SuperscriptBox["c", "2"]]], ")"]], "6"], " ", RowBox[List["(", RowBox[List[RowBox[List["3", " ", SuperscriptBox["b", "4"]]], "-", RowBox[List["10", " ", SuperscriptBox["b", "2"], " ", SuperscriptBox["c", "2"]]], "+", RowBox[List["3", " ", SuperscriptBox["c", "4"]]]]], ")"]], " ", SuperscriptBox["z", "3"]]], "+", RowBox[List["7920", " ", SuperscriptBox[RowBox[List["(", RowBox[List[SuperscriptBox["b", "2"], "+", SuperscriptBox["c", "2"]]], ")"]], "7"], " ", RowBox[List["(", RowBox[List[RowBox[List["5", " ", SuperscriptBox["b", "4"]]], "-", RowBox[List["10", " ", SuperscriptBox["b", "2"], " ", SuperscriptBox["c", "2"]]], "+", SuperscriptBox["c", "4"]]], ")"]], " ", SuperscriptBox["z", RowBox[List["7", "/", "2"]]]]], "-", RowBox[List["3960", " ", "b", " ", RowBox[List["(", RowBox[List["b", "-", "c"]], ")"]], " ", RowBox[List["(", RowBox[List["b", "+", "c"]], ")"]], " ", SuperscriptBox[RowBox[List["(", RowBox[List[SuperscriptBox["b", "2"], "+", SuperscriptBox["c", "2"]]], ")"]], "8"], " ", SuperscriptBox["z", "4"]]], "+", RowBox[List["110", " ", RowBox[List["(", RowBox[List[RowBox[List["3", " ", SuperscriptBox["b", "2"]]], "-", SuperscriptBox["c", "2"]]], ")"]], " ", SuperscriptBox[RowBox[List["(", RowBox[List[SuperscriptBox["b", "2"], "+", SuperscriptBox["c", "2"]]], ")"]], "9"], " ", SuperscriptBox["z", RowBox[List["9", "/", "2"]]]]], "-", RowBox[List["22", " ", "b", " ", SuperscriptBox[RowBox[List["(", RowBox[List[SuperscriptBox["b", "2"], "+", SuperscriptBox["c", "2"]]], ")"]], "10"], " ", SuperscriptBox["z", "5"]]], "+", RowBox[List[SuperscriptBox[RowBox[List["(", RowBox[List[SuperscriptBox["b", "2"], "+", SuperscriptBox["c", "2"]]], ")"]], "11"], " ", SuperscriptBox["z", RowBox[List["11", "/", "2"]]]]]]], ")"]], " ", RowBox[List["Sin", "[", RowBox[List["g", "+", RowBox[List["c", " ", SqrtBox["z"]]]]], "]"]]]]]], ")"]]]], SuperscriptBox[RowBox[List["(", RowBox[List[SuperscriptBox["b", "2"], "+", SuperscriptBox["c", "2"]]], ")"]], "12"]]]]]]










Date Added to functions.wolfram.com (modification date)





2002-12-18