Integrate[z^5 E^(b z) Cos[c z], z] == (1/(b^2 + c^2)^6) (E^(b z) ((-5 b^10 z^4 + b^11 z^5 - 15 b^8 z^2 (4 + c^2 z^2) + 5 b^9 z^3 (4 + c^2 z^2) + 10 b^7 z (12 + c^4 z^4) + b c^6 z (600 - 60 c^2 z^2 + c^4 z^4) + 5 b^3 c^4 z (-120 - 32 c^2 z^2 + c^4 z^4) - 10 b^6 (12 - 24 c^2 z^2 + c^4 z^4) + 10 b^5 c^2 z (-108 - 12 c^2 z^2 + c^4 z^4) + 5 c^6 (24 - 12 c^2 z^2 + c^4 z^4) + 15 b^2 c^4 (-120 + 16 c^2 z^2 + c^4 z^4) + 10 b^4 c^2 (180 + 60 c^2 z^2 + c^4 z^4)) Cos[c z] + c (-10 b^9 z^4 + b^10 z^5 - 40 b^7 z^2 (6 + c^2 z^2) + 5 b^8 z^3 (12 + c^2 z^2) + 5 b^2 c^4 z (-216 + c^4 z^4) - 10 b c^4 (72 - 24 c^2 z^2 + c^4 z^4) + c^6 z (120 - 20 c^2 z^2 + c^4 z^4) - 40 b^3 c^2 (-60 - 6 c^2 z^2 + c^4 z^4) - 60 b^5 (12 + 4 c^2 z^2 + c^4 z^4) + 10 b^4 c^2 z (-60 + 12 c^2 z^2 + c^4 z^4) + 10 b^6 z (60 + 16 c^2 z^2 + c^4 z^4)) Sin[c z]))

Cell[BoxData[RowBox[List[RowBox[List["\[Integral]", RowBox[List[SuperscriptBox["z", "5"], SuperscriptBox["\[ExponentialE]", RowBox[List["b", " ", "z"]]], RowBox[List["Cos", "[", RowBox[List["c", " ", "z"]], "]"]], RowBox[List["\[DifferentialD]", "z"]]]]]], "\[Equal]", RowBox[List[FractionBox["1", SuperscriptBox[RowBox[List["(", RowBox[List[SuperscriptBox["b", "2"], "+", SuperscriptBox["c", "2"]]], ")"]], "6"]], RowBox[List["(", RowBox[List[SuperscriptBox["\[ExponentialE]", RowBox[List["b", " ", "z"]]], " ", RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["-", "5"]], " ", SuperscriptBox["b", "10"], " ", SuperscriptBox["z", "4"]]], "+", RowBox[List[SuperscriptBox["b", "11"], " ", SuperscriptBox["z", "5"]]], "-", RowBox[List["15", " ", SuperscriptBox["b", "8"], " ", SuperscriptBox["z", "2"], " ", RowBox[List["(", RowBox[List["4", "+", RowBox[List[SuperscriptBox["c", "2"], " ", SuperscriptBox["z", "2"]]]]], ")"]]]], "+", RowBox[List["5", " ", SuperscriptBox["b", "9"], " ", SuperscriptBox["z", "3"], " ", RowBox[List["(", RowBox[List["4", "+", RowBox[List[SuperscriptBox["c", "2"], " ", SuperscriptBox["z", "2"]]]]], ")"]]]], "+", RowBox[List["10", " ", SuperscriptBox["b", "7"], " ", "z", " ", RowBox[List["(", RowBox[List["12", "+", RowBox[List[SuperscriptBox["c", "4"], " ", SuperscriptBox["z", "4"]]]]], ")"]]]], "+", RowBox[List["b", " ", SuperscriptBox["c", "6"], " ", "z", " ", RowBox[List["(", RowBox[List["600", "-", RowBox[List["60", " ", SuperscriptBox["c", "2"], " ", SuperscriptBox["z", "2"]]], "+", RowBox[List[SuperscriptBox["c", "4"], " ", SuperscriptBox["z", "4"]]]]], ")"]]]], "+", RowBox[List["5", " ", SuperscriptBox["b", "3"], " ", SuperscriptBox["c", "4"], " ", "z", " ", RowBox[List["(", RowBox[List[RowBox[List["-", "120"]], "-", RowBox[List["32", " ", SuperscriptBox["c", "2"], " ", SuperscriptBox["z", "2"]]], "+", RowBox[List[SuperscriptBox["c", "4"], " ", SuperscriptBox["z", "4"]]]]], ")"]]]], "-", RowBox[List["10", " ", SuperscriptBox["b", "6"], " ", RowBox[List["(", RowBox[List["12", "-", RowBox[List["24", " ", SuperscriptBox["c", "2"], " ", SuperscriptBox["z", "2"]]], "+", RowBox[List[SuperscriptBox["c", "4"], " ", SuperscriptBox["z", "4"]]]]], ")"]]]], "+", RowBox[List["10", " ", SuperscriptBox["b", "5"], " ", SuperscriptBox["c", "2"], " ", "z", " ", RowBox[List["(", RowBox[List[RowBox[List["-", "108"]], "-", RowBox[List["12", " ", SuperscriptBox["c", "2"], " ", SuperscriptBox["z", "2"]]], "+", RowBox[List[SuperscriptBox["c", "4"], " ", SuperscriptBox["z", "4"]]]]], ")"]]]], "+", RowBox[List["5", " ", SuperscriptBox["c", "6"], " ", RowBox[List["(", RowBox[List["24", "-", RowBox[List["12", " ", SuperscriptBox["c", "2"], " ", SuperscriptBox["z", "2"]]], "+", RowBox[List[SuperscriptBox["c", "4"], " ", SuperscriptBox["z", "4"]]]]], ")"]]]], "+", RowBox[List["15", " ", SuperscriptBox["b", "2"], " ", SuperscriptBox["c", "4"], " ", RowBox[List["(", RowBox[List[RowBox[List["-", "120"]], "+", RowBox[List["16", " ", SuperscriptBox["c", "2"], " ", SuperscriptBox["z", "2"]]], "+", RowBox[List[SuperscriptBox["c", "4"], " ", SuperscriptBox["z", "4"]]]]], ")"]]]], "+", RowBox[List["10", " ", SuperscriptBox["b", "4"], " ", SuperscriptBox["c", "2"], " ", RowBox[List["(", RowBox[List["180", "+", RowBox[List["60", " ", SuperscriptBox["c", "2"], " ", SuperscriptBox["z", "2"]]], "+", RowBox[List[SuperscriptBox["c", "4"], " ", SuperscriptBox["z", "4"]]]]], ")"]]]]]], ")"]], " ", RowBox[List["Cos", "[", RowBox[List["c", " ", "z"]], "]"]]]], "+", RowBox[List["c", " ", RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["-", "10"]], " ", SuperscriptBox["b", "9"], " ", SuperscriptBox["z", "4"]]], "+", RowBox[List[SuperscriptBox["b", "10"], " ", SuperscriptBox["z", "5"]]], "-", RowBox[List["40", " ", SuperscriptBox["b", "7"], " ", SuperscriptBox["z", "2"], " ", RowBox[List["(", RowBox[List["6", "+", RowBox[List[SuperscriptBox["c", "2"], " ", SuperscriptBox["z", "2"]]]]], ")"]]]], "+", RowBox[List["5", " ", SuperscriptBox["b", "8"], " ", SuperscriptBox["z", "3"], " ", RowBox[List["(", RowBox[List["12", "+", RowBox[List[SuperscriptBox["c", "2"], " ", SuperscriptBox["z", "2"]]]]], ")"]]]], "+", RowBox[List["5", " ", SuperscriptBox["b", "2"], " ", SuperscriptBox["c", "4"], " ", "z", " ", RowBox[List["(", RowBox[List[RowBox[List["-", "216"]], "+", RowBox[List[SuperscriptBox["c", "4"], " ", SuperscriptBox["z", "4"]]]]], ")"]]]], "-", RowBox[List["10", " ", "b", " ", SuperscriptBox["c", "4"], " ", RowBox[List["(", RowBox[List["72", "-", RowBox[List["24", " ", SuperscriptBox["c", "2"], " ", SuperscriptBox["z", "2"]]], "+", RowBox[List[SuperscriptBox["c", "4"], " ", SuperscriptBox["z", "4"]]]]], ")"]]]], "+", RowBox[List[SuperscriptBox["c", "6"], " ", "z", " ", RowBox[List["(", RowBox[List["120", "-", RowBox[List["20", " ", SuperscriptBox["c", "2"], " ", SuperscriptBox["z", "2"]]], "+", RowBox[List[SuperscriptBox["c", "4"], " ", SuperscriptBox["z", "4"]]]]], ")"]]]], "-", RowBox[List["40", " ", SuperscriptBox["b", "3"], " ", SuperscriptBox["c", "2"], " ", RowBox[List["(", RowBox[List[RowBox[List["-", "60"]], "-", RowBox[List["6", " ", SuperscriptBox["c", "2"], " ", SuperscriptBox["z", "2"]]], "+", RowBox[List[SuperscriptBox["c", "4"], " ", SuperscriptBox["z", "4"]]]]], ")"]]]], "-", RowBox[List["60", " ", SuperscriptBox["b", "5"], " ", RowBox[List["(", RowBox[List["12", "+", RowBox[List["4", " ", SuperscriptBox["c", "2"], " ", SuperscriptBox["z", "2"]]], "+", RowBox[List[SuperscriptBox["c", "4"], " ", SuperscriptBox["z", "4"]]]]], ")"]]]], "+", RowBox[List["10", " ", SuperscriptBox["b", "4"], " ", SuperscriptBox["c", "2"], " ", "z", " ", RowBox[List["(", RowBox[List[RowBox[List["-", "60"]], "+", RowBox[List["12", " ", SuperscriptBox["c", "2"], " ", SuperscriptBox["z", "2"]]], "+", RowBox[List[SuperscriptBox["c", "4"], " ", SuperscriptBox["z", "4"]]]]], ")"]]]], "+", RowBox[List["10", " ", SuperscriptBox["b", "6"], " ", "z", " ", RowBox[List["(", RowBox[List["60", "+", RowBox[List["16", " ", SuperscriptBox["c", "2"], " ", SuperscriptBox["z", "2"]]], "+", RowBox[List[SuperscriptBox["c", "4"], " ", SuperscriptBox["z", "4"]]]]], ")"]]]]]], ")"]], " ", RowBox[List["Sin", "[", RowBox[List["c", " ", "z"]], "]"]]]]]], ")"]]]], ")"]]]]]]]]

<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> <mi> z </mi> </mrow> </msup> <mo> &#8290; </mo> <mrow> <mi> cos </mi> <mo> &#8289; </mo> <mo> ( </mo> <mrow> <mi> c </mi> <mo> &#8290; </mo> <mi> z </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> 6 </mn> </msup> </mfrac> <mo> &#8290; </mo> <mrow> <mo> ( </mo> <mrow> <msup> <mi> &#8519; </mi> <mrow> <mi> b </mi> <mo> &#8290; </mo> <mi> z </mi> </mrow> </msup> <mo> &#8290; </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mrow> <mo> ( </mo> <mrow> <mrow> <msup> <mi> z </mi> <mn> 5 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> b </mi> <mn> 11 </mn> </msup> </mrow> <mo> - </mo> <mrow> <mn> 5 </mn> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 4 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> b </mi> <mn> 10 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 5 </mn> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 3 </mn> </msup> <mo> &#8290; </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <msup> <mi> c </mi> <mn> 2 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> </mrow> <mo> + </mo> <mn> 4 </mn> </mrow> <mo> ) </mo> </mrow> <mo> &#8290; </mo> <msup> <mi> b </mi> <mn> 9 </mn> </msup> </mrow> <mo> - </mo> <mrow> <mn> 15 </mn> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> <mo> &#8290; </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <msup> <mi> c </mi> <mn> 2 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> </mrow> <mo> + </mo> <mn> 4 </mn> </mrow> <mo> ) </mo> </mrow> <mo> &#8290; </mo> <msup> <mi> b </mi> <mn> 8 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 10 </mn> <mo> &#8290; </mo> <mi> z </mi> <mo> &#8290; </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <msup> <mi> c </mi> <mn> 4 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 4 </mn> </msup> </mrow> <mo> + </mo> <mn> 12 </mn> </mrow> <mo> ) </mo> </mrow> <mo> &#8290; </mo> <msup> <mi> b </mi> <mn> 7 </mn> </msup> </mrow> <mo> - </mo> <mrow> <mn> 10 </mn> <mo> &#8290; </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <msup> <mi> c </mi> <mn> 4 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 4 </mn> </msup> </mrow> <mo> - </mo> <mrow> <mn> 24 </mn> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 2 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> </mrow> <mo> + </mo> <mn> 12 </mn> </mrow> <mo> ) </mo> </mrow> <mo> &#8290; </mo> <msup> <mi> b </mi> <mn> 6 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 10 </mn> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 2 </mn> </msup> <mo> &#8290; </mo> <mi> z </mi> <mo> &#8290; </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <msup> <mi> c </mi> <mn> 4 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 4 </mn> </msup> </mrow> <mo> - </mo> <mrow> <mn> 12 </mn> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 2 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> </mrow> <mo> - </mo> <mn> 108 </mn> </mrow> <mo> ) </mo> </mrow> <mo> &#8290; </mo> <msup> <mi> b </mi> <mn> 5 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 10 </mn> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 2 </mn> </msup> <mo> &#8290; </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <msup> <mi> c </mi> <mn> 4 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 4 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 60 </mn> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 2 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> </mrow> <mo> + </mo> <mn> 180 </mn> </mrow> <mo> ) </mo> </mrow> <mo> &#8290; </mo> <msup> <mi> b </mi> <mn> 4 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 5 </mn> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 4 </mn> </msup> <mo> &#8290; </mo> <mi> z </mi> <mo> &#8290; </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <msup> <mi> c </mi> <mn> 4 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 4 </mn> </msup> </mrow> <mo> - </mo> <mrow> <mn> 32 </mn> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 2 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> </mrow> <mo> - </mo> <mn> 120 </mn> </mrow> <mo> ) </mo> </mrow> <mo> &#8290; </mo> <msup> <mi> b </mi> <mn> 3 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 15 </mn> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 4 </mn> </msup> <mo> &#8290; </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <msup> <mi> c </mi> <mn> 4 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 4 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 16 </mn> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 2 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> </mrow> <mo> - </mo> <mn> 120 </mn> </mrow> <mo> ) </mo> </mrow> <mo> &#8290; </mo> <msup> <mi> b </mi> <mn> 2 </mn> </msup> </mrow> <mo> + </mo> <mrow> <msup> <mi> c </mi> <mn> 6 </mn> </msup> <mo> &#8290; </mo> <mi> z </mi> <mo> &#8290; </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <msup> <mi> c </mi> <mn> 4 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 4 </mn> </msup> </mrow> <mo> - </mo> <mrow> <mn> 60 </mn> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 2 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> </mrow> <mo> + </mo> <mn> 600 </mn> </mrow> <mo> ) </mo> </mrow> <mo> &#8290; </mo> <mi> b </mi> </mrow> <mo> + </mo> <mrow> <mn> 5 </mn> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 6 </mn> </msup> <mo> &#8290; </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <msup> <mi> c </mi> <mn> 4 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 4 </mn> </msup> </mrow> <mo> - </mo> <mrow> <mn> 12 </mn> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 2 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> </mrow> <mo> + </mo> <mn> 24 </mn> </mrow> <mo> ) </mo> </mrow> </mrow> </mrow> <mo> ) </mo> </mrow> <mo> &#8290; </mo> <mrow> <mi> cos </mi> <mo> &#8289; </mo> <mo> ( </mo> <mrow> <mi> c </mi> <mo> &#8290; </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> + </mo> <mrow> <mi> c </mi> <mo> &#8290; </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <msup> <mi> z </mi> <mn> 5 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> b </mi> <mn> 10 </mn> </msup> </mrow> <mo> - </mo> <mrow> <mn> 10 </mn> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 4 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> b </mi> <mn> 9 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 5 </mn> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 3 </mn> </msup> <mo> &#8290; </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <msup> <mi> c </mi> <mn> 2 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> </mrow> <mo> + </mo> <mn> 12 </mn> </mrow> <mo> ) </mo> </mrow> <mo> &#8290; </mo> <msup> <mi> b </mi> <mn> 8 </mn> </msup> </mrow> <mo> - </mo> <mrow> <mn> 40 </mn> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> <mo> &#8290; </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <msup> <mi> c </mi> <mn> 2 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> </mrow> <mo> + </mo> <mn> 6 </mn> </mrow> <mo> ) </mo> </mrow> <mo> &#8290; </mo> <msup> <mi> b </mi> <mn> 7 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 10 </mn> <mo> &#8290; </mo> <mi> z </mi> <mo> &#8290; </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <msup> <mi> c </mi> <mn> 4 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 4 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 16 </mn> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 2 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> </mrow> <mo> + </mo> <mn> 60 </mn> </mrow> <mo> ) </mo> </mrow> <mo> &#8290; </mo> <msup> <mi> b </mi> <mn> 6 </mn> </msup> </mrow> <mo> - </mo> <mrow> <mn> 60 </mn> <mo> &#8290; </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <msup> <mi> c </mi> <mn> 4 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 4 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 4 </mn> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 2 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> </mrow> <mo> + </mo> <mn> 12 </mn> </mrow> <mo> ) </mo> </mrow> <mo> &#8290; </mo> <msup> <mi> b </mi> <mn> 5 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 10 </mn> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 2 </mn> </msup> <mo> &#8290; </mo> <mi> z </mi> <mo> &#8290; </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <msup> <mi> c </mi> <mn> 4 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 4 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 12 </mn> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 2 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> </mrow> <mo> - </mo> <mn> 60 </mn> </mrow> <mo> ) </mo> </mrow> <mo> &#8290; </mo> <msup> <mi> b </mi> <mn> 4 </mn> </msup> </mrow> <mo> - </mo> <mrow> <mn> 40 </mn> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 2 </mn> </msup> <mo> &#8290; </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <msup> <mi> c </mi> <mn> 4 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 4 </mn> </msup> </mrow> <mo> - </mo> <mrow> <mn> 6 </mn> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 2 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> </mrow> <mo> - </mo> <mn> 60 </mn> </mrow> <mo> ) </mo> </mrow> <mo> &#8290; </mo> <msup> <mi> b </mi> <mn> 3 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 5 </mn> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 4 </mn> </msup> <mo> &#8290; </mo> <mi> z </mi> <mo> &#8290; </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <msup> <mi> c </mi> <mn> 4 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 4 </mn> </msup> </mrow> <mo> - </mo> <mn> 216 </mn> </mrow> <mo> ) </mo> </mrow> <mo> &#8290; </mo> <msup> <mi> b </mi> <mn> 2 </mn> </msup> </mrow> <mo> - </mo> <mrow> <mn> 10 </mn> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 4 </mn> </msup> <mo> &#8290; </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <msup> <mi> c </mi> <mn> 4 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 4 </mn> </msup> </mrow> <mo> - </mo> <mrow> <mn> 24 </mn> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 2 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> </mrow> <mo> + </mo> <mn> 72 </mn> </mrow> <mo> ) </mo> </mrow> <mo> &#8290; </mo> <mi> b </mi> </mrow> <mo> + </mo> <mrow> <msup> <mi> c </mi> <mn> 6 </mn> </msup> <mo> &#8290; </mo> <mi> z </mi> <mo> &#8290; </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <msup> <mi> c </mi> <mn> 4 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 4 </mn> </msup> </mrow> <mo> - </mo> <mrow> <mn> 20 </mn> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 2 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> </mrow> <mo> + </mo> <mn> 120 </mn> </mrow> <mo> ) </mo> </mrow> </mrow> </mrow> <mo> ) </mo> </mrow> <mo> &#8290; </mo> <mrow> <mi> sin </mi> <mo> &#8289; </mo> <mo> ( </mo> <mrow> <mi> c </mi> <mo> &#8290; </mo> <mi> z </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> <ci> z </ci> </apply> </apply> <apply> <cos /> <apply> <times /> <ci> c </ci> <ci> z </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'> 6 </cn> </apply> <cn type='integer'> -1 </cn> </apply> </apply> <apply> <times /> <apply> <power /> <exponentiale /> <apply> <times /> <ci> b </ci> <ci> z </ci> </apply> </apply> <apply> <plus /> <apply> <times /> <apply> <plus /> <apply> <times /> <apply> <power /> <ci> z </ci> <cn type='integer'> 5 </cn> </apply> <apply> <power /> <ci> b </ci> <cn type='integer'> 11 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 5 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 4 </cn> </apply> <apply> <power /> <ci> b </ci> <cn type='integer'> 10 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 5 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 3 </cn> </apply> <apply> <plus /> <apply> <times /> <apply> <power /> <ci> c </ci> <cn type='integer'> 2 </cn> </apply> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <cn type='integer'> 4 </cn> </apply> <apply> <power /> <ci> b </ci> <cn type='integer'> 9 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 15 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> <apply> <plus /> <apply> <times /> <apply> <power /> <ci> c </ci> <cn type='integer'> 2 </cn> </apply> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <cn type='integer'> 4 </cn> </apply> <apply> <power /> <ci> b </ci> <cn type='integer'> 8 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 10 </cn> <ci> z </ci> <apply> <plus /> <apply> <times /> <apply> <power /> <ci> c </ci> <cn type='integer'> 4 </cn> </apply> <apply> <power /> <ci> z </ci> <cn type='integer'> 4 </cn> </apply> </apply> <cn type='integer'> 12 </cn> </apply> <apply> <power /> <ci> b </ci> <cn type='integer'> 7 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 10 </cn> <apply> <plus /> <apply> <times /> <apply> <power /> <ci> c </ci> <cn type='integer'> 4 </cn> </apply> <apply> <power /> <ci> z </ci> <cn type='integer'> 4 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 24 </cn> <apply> <power /> <ci> c </ci> <cn type='integer'> 2 </cn> </apply> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> </apply> <cn type='integer'> 12 </cn> </apply> <apply> <power /> <ci> b </ci> <cn type='integer'> 6 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 10 </cn> <apply> <power /> <ci> c </ci> <cn type='integer'> 2 </cn> </apply> <ci> z </ci> <apply> <plus /> <apply> <times /> <apply> <power /> <ci> c </ci> <cn type='integer'> 4 </cn> </apply> <apply> <power /> <ci> z </ci> <cn type='integer'> 4 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 12 </cn> <apply> <power /> <ci> c </ci> <cn type='integer'> 2 </cn> </apply> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> </apply> <cn type='integer'> -108 </cn> </apply> <apply> <power /> <ci> b </ci> <cn type='integer'> 5 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 10 </cn> <apply> <power /> <ci> c </ci> <cn type='integer'> 2 </cn> </apply> <apply> <plus /> <apply> <times /> <apply> <power /> <ci> c </ci> <cn type='integer'> 4 </cn> </apply> <apply> <power /> <ci> z </ci> <cn type='integer'> 4 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 60 </cn> <apply> <power /> <ci> c </ci> <cn type='integer'> 2 </cn> </apply> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <cn type='integer'> 180 </cn> </apply> <apply> <power /> <ci> b </ci> <cn type='integer'> 4 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 5 </cn> <apply> <power /> <ci> c </ci> <cn type='integer'> 4 </cn> </apply> <ci> z </ci> <apply> <plus /> <apply> <times /> <apply> <power /> <ci> c </ci> <cn type='integer'> 4 </cn> </apply> <apply> <power /> <ci> z </ci> <cn type='integer'> 4 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 32 </cn> <apply> <power /> <ci> c </ci> <cn type='integer'> 2 </cn> </apply> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> </apply> <cn type='integer'> -120 </cn> </apply> <apply> <power /> <ci> b </ci> <cn type='integer'> 3 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 15 </cn> <apply> <power /> <ci> c </ci> <cn type='integer'> 4 </cn> </apply> <apply> <plus /> <apply> <times /> <apply> <power /> <ci> c </ci> <cn type='integer'> 4 </cn> </apply> <apply> <power /> <ci> z </ci> <cn type='integer'> 4 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 16 </cn> <apply> <power /> <ci> c </ci> <cn type='integer'> 2 </cn> </apply> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <cn type='integer'> -120 </cn> </apply> <apply> <power /> <ci> b </ci> <cn type='integer'> 2 </cn> </apply> </apply> <apply> <times /> <apply> <power /> <ci> c </ci> <cn type='integer'> 6 </cn> </apply> <ci> z </ci> <apply> <plus /> <apply> <times /> <apply> <power /> <ci> c </ci> <cn type='integer'> 4 </cn> </apply> <apply> <power /> <ci> z </ci> <cn type='integer'> 4 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 60 </cn> <apply> <power /> <ci> c </ci> <cn type='integer'> 2 </cn> </apply> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> </apply> <cn type='integer'> 600 </cn> </apply> <ci> b </ci> </apply> <apply> <times /> <cn type='integer'> 5 </cn> <apply> <power /> <ci> c </ci> <cn type='integer'> 6 </cn> </apply> <apply> <plus /> <apply> <times /> <apply> <power /> <ci> c </ci> <cn type='integer'> 4 </cn> </apply> <apply> <power /> <ci> z </ci> <cn type='integer'> 4 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 12 </cn> <apply> <power /> <ci> c </ci> <cn type='integer'> 2 </cn> </apply> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> </apply> <cn type='integer'> 24 </cn> </apply> </apply> </apply> <apply> <cos /> <apply> <times /> <ci> c </ci> <ci> z </ci> </apply> </apply> </apply> <apply> <times /> <ci> c </ci> <apply> <plus /> <apply> <times /> <apply> <power /> <ci> z </ci> <cn type='integer'> 5 </cn> </apply> <apply> <power /> <ci> b </ci> <cn type='integer'> 10 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 10 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 4 </cn> </apply> <apply> <power /> <ci> b </ci> <cn type='integer'> 9 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 5 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 3 </cn> </apply> <apply> <plus /> <apply> <times /> <apply> <power /> <ci> c </ci> <cn type='integer'> 2 </cn> </apply> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <cn type='integer'> 12 </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'> 40 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> <apply> <plus /> <apply> <times /> <apply> <power /> <ci> c </ci> <cn type='integer'> 2 </cn> </apply> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <cn type='integer'> 6 </cn> </apply> <apply> <power /> <ci> b </ci> <cn type='integer'> 7 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 10 </cn> <ci> z </ci> <apply> <plus /> <apply> <times /> <apply> <power /> <ci> c </ci> <cn type='integer'> 4 </cn> </apply> <apply> <power /> <ci> z </ci> <cn type='integer'> 4 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 16 </cn> <apply> <power /> <ci> c </ci> <cn type='integer'> 2 </cn> </apply> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <cn type='integer'> 60 </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'> 60 </cn> <apply> <plus /> <apply> <times /> <apply> <power /> <ci> c </ci> <cn type='integer'> 4 </cn> </apply> <apply> <power /> <ci> z </ci> <cn type='integer'> 4 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 4 </cn> <apply> <power /> <ci> c </ci> <cn type='integer'> 2 </cn> </apply> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <cn type='integer'> 12 </cn> </apply> <apply> <power /> <ci> b </ci> <cn type='integer'> 5 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 10 </cn> <apply> <power /> <ci> c </ci> <cn type='integer'> 2 </cn> </apply> <ci> z </ci> <apply> <plus /> <apply> <times /> <apply> <power /> <ci> c </ci> <cn type='integer'> 4 </cn> </apply> <apply> <power /> <ci> z </ci> <cn type='integer'> 4 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 12 </cn> <apply> <power /> <ci> c </ci> <cn type='integer'> 2 </cn> </apply> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <cn type='integer'> -60 </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'> 40 </cn> <apply> <power /> <ci> c </ci> <cn type='integer'> 2 </cn> </apply> <apply> <plus /> <apply> <times /> <apply> <power /> <ci> c </ci> <cn type='integer'> 4 </cn> </apply> <apply> <power /> <ci> z </ci> <cn type='integer'> 4 </cn> </apply> </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> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> </apply> <cn type='integer'> -60 </cn> </apply> <apply> <power /> <ci> b </ci> <cn type='integer'> 3 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 5 </cn> <apply> <power /> <ci> c </ci> <cn type='integer'> 4 </cn> </apply> <ci> z </ci> <apply> <plus /> <apply> <times /> <apply> <power /> <ci> c </ci> <cn type='integer'> 4 </cn> </apply> <apply> <power /> <ci> z </ci> <cn type='integer'> 4 </cn> </apply> </apply> <cn type='integer'> -216 </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'> 10 </cn> <apply> <power /> <ci> c </ci> <cn type='integer'> 4 </cn> </apply> <apply> <plus /> <apply> <times /> <apply> <power /> <ci> c </ci> <cn type='integer'> 4 </cn> </apply> <apply> <power /> <ci> z </ci> <cn type='integer'> 4 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 24 </cn> <apply> <power /> <ci> c </ci> <cn type='integer'> 2 </cn> </apply> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> </apply> <cn type='integer'> 72 </cn> </apply> <ci> b </ci> </apply> </apply> <apply> <times /> <apply> <power /> <ci> c </ci> <cn type='integer'> 6 </cn> </apply> <ci> z </ci> <apply> <plus /> <apply> <times /> <apply> <power /> <ci> c </ci> <cn type='integer'> 4 </cn> </apply> <apply> <power /> <ci> z </ci> <cn type='integer'> 4 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 20 </cn> <apply> <power /> <ci> c </ci> <cn type='integer'> 2 </cn> </apply> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> </apply> <cn type='integer'> 120 </cn> </apply> </apply> </apply> <apply> <sin /> <apply> <times /> <ci> c </ci> <ci> z </ci> </apply> </apply> </apply> </apply> </apply> </apply> </apply> </annotation-xml> </semantics> </math>

Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["\[Integral]", RowBox[List[RowBox[List[SuperscriptBox["z_", "5"], " ", SuperscriptBox["\[ExponentialE]", RowBox[List["b_", " ", "z_"]]], " ", RowBox[List["Cos", "[", RowBox[List["c_", " ", "z_"]], "]"]]]], RowBox[List["\[DifferentialD]", "z_"]]]]]], "]"]], "\[RuleDelayed]", FractionBox[RowBox[List[SuperscriptBox["\[ExponentialE]", RowBox[List["b", " ", "z"]]], " ", RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["-", "5"]], " ", SuperscriptBox["b", "10"], " ", SuperscriptBox["z", "4"]]], "+", RowBox[List[SuperscriptBox["b", "11"], " ", SuperscriptBox["z", "5"]]], "-", RowBox[List["15", " ", SuperscriptBox["b", "8"], " ", SuperscriptBox["z", "2"], " ", RowBox[List["(", RowBox[List["4", "+", RowBox[List[SuperscriptBox["c", "2"], " ", SuperscriptBox["z", "2"]]]]], ")"]]]], "+", RowBox[List["5", " ", SuperscriptBox["b", "9"], " ", SuperscriptBox["z", "3"], " ", RowBox[List["(", RowBox[List["4", "+", RowBox[List[SuperscriptBox["c", "2"], " ", SuperscriptBox["z", "2"]]]]], ")"]]]], "+", RowBox[List["10", " ", SuperscriptBox["b", "7"], " ", "z", " ", RowBox[List["(", RowBox[List["12", "+", RowBox[List[SuperscriptBox["c", "4"], " ", SuperscriptBox["z", "4"]]]]], ")"]]]], "+", RowBox[List["b", " ", SuperscriptBox["c", "6"], " ", "z", " ", RowBox[List["(", RowBox[List["600", "-", RowBox[List["60", " ", SuperscriptBox["c", "2"], " ", SuperscriptBox["z", "2"]]], "+", RowBox[List[SuperscriptBox["c", "4"], " ", SuperscriptBox["z", "4"]]]]], ")"]]]], "+", RowBox[List["5", " ", SuperscriptBox["b", "3"], " ", SuperscriptBox["c", "4"], " ", "z", " ", RowBox[List["(", RowBox[List[RowBox[List["-", "120"]], "-", RowBox[List["32", " ", SuperscriptBox["c", "2"], " ", SuperscriptBox["z", "2"]]], "+", RowBox[List[SuperscriptBox["c", "4"], " ", SuperscriptBox["z", "4"]]]]], ")"]]]], "-", RowBox[List["10", " ", SuperscriptBox["b", "6"], " ", RowBox[List["(", RowBox[List["12", "-", RowBox[List["24", " ", SuperscriptBox["c", "2"], " ", SuperscriptBox["z", "2"]]], "+", RowBox[List[SuperscriptBox["c", "4"], " ", SuperscriptBox["z", "4"]]]]], ")"]]]], "+", RowBox[List["10", " ", SuperscriptBox["b", "5"], " ", SuperscriptBox["c", "2"], " ", "z", " ", RowBox[List["(", RowBox[List[RowBox[List["-", "108"]], "-", RowBox[List["12", " ", SuperscriptBox["c", "2"], " ", SuperscriptBox["z", "2"]]], "+", RowBox[List[SuperscriptBox["c", "4"], " ", SuperscriptBox["z", "4"]]]]], ")"]]]], "+", RowBox[List["5", " ", SuperscriptBox["c", "6"], " ", RowBox[List["(", RowBox[List["24", "-", RowBox[List["12", " ", SuperscriptBox["c", "2"], " ", SuperscriptBox["z", "2"]]], "+", RowBox[List[SuperscriptBox["c", "4"], " ", SuperscriptBox["z", "4"]]]]], ")"]]]], "+", RowBox[List["15", " ", SuperscriptBox["b", "2"], " ", SuperscriptBox["c", "4"], " ", RowBox[List["(", RowBox[List[RowBox[List["-", "120"]], "+", RowBox[List["16", " ", SuperscriptBox["c", "2"], " ", SuperscriptBox["z", "2"]]], "+", RowBox[List[SuperscriptBox["c", "4"], " ", SuperscriptBox["z", "4"]]]]], ")"]]]], "+", RowBox[List["10", " ", SuperscriptBox["b", "4"], " ", SuperscriptBox["c", "2"], " ", RowBox[List["(", RowBox[List["180", "+", RowBox[List["60", " ", SuperscriptBox["c", "2"], " ", SuperscriptBox["z", "2"]]], "+", RowBox[List[SuperscriptBox["c", "4"], " ", SuperscriptBox["z", "4"]]]]], ")"]]]]]], ")"]], " ", RowBox[List["Cos", "[", RowBox[List["c", " ", "z"]], "]"]]]], "+", RowBox[List["c", " ", RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["-", "10"]], " ", SuperscriptBox["b", "9"], " ", SuperscriptBox["z", "4"]]], "+", RowBox[List[SuperscriptBox["b", "10"], " ", SuperscriptBox["z", "5"]]], "-", RowBox[List["40", " ", SuperscriptBox["b", "7"], " ", SuperscriptBox["z", "2"], " ", RowBox[List["(", RowBox[List["6", "+", RowBox[List[SuperscriptBox["c", "2"], " ", SuperscriptBox["z", "2"]]]]], ")"]]]], "+", RowBox[List["5", " ", SuperscriptBox["b", "8"], " ", SuperscriptBox["z", "3"], " ", RowBox[List["(", RowBox[List["12", "+", RowBox[List[SuperscriptBox["c", "2"], " ", SuperscriptBox["z", "2"]]]]], ")"]]]], "+", RowBox[List["5", " ", SuperscriptBox["b", "2"], " ", SuperscriptBox["c", "4"], " ", "z", " ", RowBox[List["(", RowBox[List[RowBox[List["-", "216"]], "+", RowBox[List[SuperscriptBox["c", "4"], " ", SuperscriptBox["z", "4"]]]]], ")"]]]], "-", RowBox[List["10", " ", "b", " ", SuperscriptBox["c", "4"], " ", RowBox[List["(", RowBox[List["72", "-", RowBox[List["24", " ", SuperscriptBox["c", "2"], " ", SuperscriptBox["z", "2"]]], "+", RowBox[List[SuperscriptBox["c", "4"], " ", SuperscriptBox["z", "4"]]]]], ")"]]]], "+", RowBox[List[SuperscriptBox["c", "6"], " ", "z", " ", RowBox[List["(", RowBox[List["120", "-", RowBox[List["20", " ", SuperscriptBox["c", "2"], " ", SuperscriptBox["z", "2"]]], "+", RowBox[List[SuperscriptBox["c", "4"], " ", SuperscriptBox["z", "4"]]]]], ")"]]]], "-", RowBox[List["40", " ", SuperscriptBox["b", "3"], " ", SuperscriptBox["c", "2"], " ", RowBox[List["(", RowBox[List[RowBox[List["-", "60"]], "-", RowBox[List["6", " ", SuperscriptBox["c", "2"], " ", SuperscriptBox["z", "2"]]], "+", RowBox[List[SuperscriptBox["c", "4"], " ", SuperscriptBox["z", "4"]]]]], ")"]]]], "-", RowBox[List["60", " ", SuperscriptBox["b", "5"], " ", RowBox[List["(", RowBox[List["12", "+", RowBox[List["4", " ", SuperscriptBox["c", "2"], " ", SuperscriptBox["z", "2"]]], "+", RowBox[List[SuperscriptBox["c", "4"], " ", SuperscriptBox["z", "4"]]]]], ")"]]]], "+", RowBox[List["10", " ", SuperscriptBox["b", "4"], " ", SuperscriptBox["c", "2"], " ", "z", " ", RowBox[List["(", RowBox[List[RowBox[List["-", "60"]], "+", RowBox[List["12", " ", SuperscriptBox["c", "2"], " ", SuperscriptBox["z", "2"]]], "+", RowBox[List[SuperscriptBox["c", "4"], " ", SuperscriptBox["z", "4"]]]]], ")"]]]], "+", RowBox[List["10", " ", SuperscriptBox["b", "6"], " ", "z", " ", RowBox[List["(", RowBox[List["60", "+", RowBox[List["16", " ", SuperscriptBox["c", "2"], " ", SuperscriptBox["z", "2"]]], "+", RowBox[List[SuperscriptBox["c", "4"], " ", SuperscriptBox["z", "4"]]]]], ")"]]]]]], ")"]], " ", RowBox[List["Sin", "[", RowBox[List["c", " ", "z"]], "]"]]]]]], ")"]]]], SuperscriptBox[RowBox[List["(", RowBox[List[SuperscriptBox["b", "2"], "+", SuperscriptBox["c", "2"]]], ")"]], "6"]]]]]]

2002-12-18