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Sin






Mathematica Notation

Traditional Notation









Elementary Functions > Sin[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 zr+esin(c zr+g)





http://functions.wolfram.com/01.06.21.0481.01









  


  










Input Form





Integrate[z^5 E^(b Sqrt[z] + e) Sin[c Sqrt[z] + g], z] == (1/(b^2 + c^2)^12) (2 E^(b Sqrt[z] + e) ((-c) (-22 b^21 z^5 + b^22 z^(11/2) - 220 b^19 z^4 (18 + c^2 z) + 11 b^20 z^(9/2) (30 + c^2 z) - 990 b^17 z^3 (336 + 28 c^2 z + c^4 z^2) + 55 b^18 z^(7/2) (720 + 52 c^2 z + c^4 z^2) - 2640 b^15 z^2 (5040 + 336 c^2 z + 30 c^4 z^2 + c^6 z^3) + 165 b^16 z^(5/2) (14112 + 1200 c^2 z + 66 c^4 z^2 + c^6 z^3) - 4620 b^13 z (43200 - 8640 c^2 z - 288 c^4 z^2 + 24 c^6 z^3 + c^8 z^4) + 330 b^14 z^(3/2) (181440 + 864 c^4 z^2 + 72 c^6 z^3 + c^8 z^4) - 22 b c^10 (-21772800 + 9072000 c^2 z - 604800 c^4 z^2 + 15120 c^6 z^3 - 180 c^8 z^4 + c^10 z^5) - 220 b^3 c^8 (39916800 - 9072000 c^2 z + 181440 c^4 z^2 + 4032 c^6 z^3 - 126 c^8 z^4 + c^10 z^5) + c^12 Sqrt[z] (-39916800 + 6652800 c^2 z - 332640 c^4 z^2 + 7920 c^6 z^3 - 110 c^8 z^4 + c^10 z^5) - 990 b^5 c^6 (-31933440 + 443520 c^2 z + 201600 c^4 z^2 - 1344 c^6 z^3 - 80 c^8 z^4 + c^10 z^5) + 11 b^2 c^10 Sqrt[z] (195955200 - 19958400 c^2 z + 483840 c^4 z^2 - 2160 c^6 z^3 - 60 c^8 z^4 + c^10 z^5) - 2640 b^7 c^4 (11975040 + 1995840 c^2 z + 55440 c^4 z^2 - 3024 c^6 z^3 - 42 c^8 z^4 + c^10 z^5) + 55 b^4 c^8 Sqrt[z] (-199584000 + 2540160 c^2 z + 362880 c^4 z^2 - 6336 c^6 z^3 - 18 c^8 z^4 + c^10 z^5) - 4620 b^9 c^2 (-1900800 + 95040 c^2 z - 31680 c^4 z^2 - 2640 c^6 z^3 - 12 c^8 z^4 + c^10 z^5) - 5544 b^11 (86400 - 360000 c^2 z - 36000 c^4 z^2 - 1440 c^6 z^3 + 10 c^8 z^4 + c^10 z^5) + 165 b^6 c^6 Sqrt[z] (31933440 + 7539840 c^2 z + 64512 c^4 z^2 - 6720 c^6 z^3 + 16 c^8 z^4 + c^10 z^5) + 330 b^8 c^4 Sqrt[z] (35925120 + 1995840 c^2 z - 110880 c^4 z^2 - 5040 c^6 z^3 + 42 c^8 z^4 + c^10 z^5) + 462 b^10 c^2 Sqrt[z] (-13305600 - 1425600 c^2 z - 126720 c^4 z^2 - 2640 c^6 z^3 + 60 c^8 z^4 + c^10 z^5) + 462 b^12 Sqrt[z] (950400 - 820800 c^2 z - 60480 c^4 z^2 - 480 c^6 z^3 + 70 c^8 z^4 + c^10 z^5)) Cos[g + c Sqrt[z]] + (-11 b^22 z^5 + b^23 z^(11/2) - 99 b^20 z^4 (10 + c^2 z) + 11 b^21 z^(9/2) (10 + c^2 z) + 55 b^19 z^(7/2) (144 + 12 c^2 z + c^4 z^2) - 55 b^18 z^3 (1008 + 36 c^2 z + 7 c^4 z^2) + 165 b^17 z^(5/2) (2016 - 144 c^2 z + 6 c^4 z^2 + c^6 z^3) - 165 b^16 z^2 (10080 - 3024 c^2 z - 114 c^4 z^2 + 5 c^6 z^3) - 990 b^14 z (20160 - 40320 c^2 z - 3360 c^4 z^2 - 104 c^6 z^3 + c^8 z^4) + 330 b^15 z^(3/2) (20160 - 16128 c^2 z - 1056 c^4 z^2 - 8 c^6 z^3 + c^8 z^4) - 462 b^12 (86400 - 1857600 c^2 z - 129600 c^4 z^2 - 13920 c^6 z^3 - 510 c^8 z^4 + c^10 z^5) + b c^12 Sqrt[z] (-439084800 + 59875200 c^2 z - 2328480 c^4 z^2 + 39600 c^6 z^3 - 330 c^8 z^4 + c^10 z^5) + 11 b^3 c^10 Sqrt[z] (558835200 - 34473600 c^2 z + 18000 c^6 z^3 - 260 c^8 z^4 + c^10 z^5) + 55 b^5 c^8 Sqrt[z] (-215550720 - 11975040 c^2 z + 508032 c^4 z^2 + 5184 c^6 z^3 - 198 c^8 z^4 + c^10 z^5) + 165 b^7 c^6 Sqrt[z] (-31933440 + 3991680 c^2 z + 354816 c^4 z^2 - 1344 c^6 z^3 - 144 c^8 z^4 + c^10 z^5) + 330 b^9 c^4 Sqrt[z] (33264000 + 3769920 c^2 z + 110880 c^4 z^2 - 3696 c^6 z^3 - 98 c^8 z^4 + c^10 z^5) + 11 c^12 (-3628800 + 1814400 c^2 z - 151200 c^4 z^2 + 5040 c^6 z^3 - 90 c^8 z^4 + c^10 z^5) + 462 b^11 c^2 Sqrt[z] (-4665600 + 302400 c^2 z - 23040 c^4 z^2 - 3600 c^6 z^3 - 60 c^8 z^4 + c^10 z^5) + 462 b^13 Sqrt[z] (86400 - 475200 c^2 z - 43200 c^4 z^2 - 2400 c^6 z^3 - 30 c^8 z^4 + c^10 z^5) + 99 b^2 c^10 (26611200 - 8668800 c^2 z + 403200 c^4 z^2 - 5040 c^6 z^3 - 20 c^8 z^4 + c^10 z^5) + 990 b^8 c^4 (-19958400 - 3326400 c^2 z - 332640 c^4 z^2 - 3696 c^6 z^3 + 238 c^8 z^4 + c^10 z^5) + 462 b^10 c^2 (5702400 - 5227200 c^2 z - 316800 c^4 z^2 + 7920 c^6 z^3 + 660 c^8 z^4 + c^10 z^5) + 165 b^6 c^6 (223534080 + 19958400 c^2 z - 887040 c^4 z^2 - 38976 c^6 z^3 + 624 c^8 z^4 + 5 c^10 z^5) + 55 b^4 c^8 (-359251200 + 43908480 c^2 z + 1088640 c^4 z^2 - 60480 c^6 z^3 + 342 c^8 z^4 + 7 c^10 z^5)) Sin[g + c Sqrt[z]]))










Standard Form





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</mo> <mrow> <mn> 2400 </mn> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 3 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 6 </mn> </msup> </mrow> <mo> - </mo> <mrow> <mn> 43200 </mn> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 4 </mn> </msup> </mrow> <mo> - </mo> <mrow> <mn> 475200 </mn> <mo> &#8290; </mo> <mi> z </mi> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 2 </mn> </msup> </mrow> <mo> + </mo> <mn> 86400 </mn> </mrow> <mo> ) </mo> </mrow> <mo> &#8290; </mo> <msqrt> <mi> z </mi> </msqrt> </mrow> <mo> + </mo> <mrow> <mn> 462 </mn> <mo> &#8290; </mo> <msup> <mi> b </mi> <mn> 11 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 2 </mn> </msup> <mo> &#8290; </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <msup> <mi> z </mi> <mn> 5 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 10 </mn> </msup> </mrow> <mo> - </mo> <mrow> <mn> 60 </mn> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 4 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 8 </mn> </msup> </mrow> <mo> - </mo> <mrow> <mn> 3600 </mn> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 3 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 6 </mn> </msup> </mrow> <mo> - </mo> <mrow> <mn> 23040 </mn> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 4 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 302400 </mn> <mo> &#8290; </mo> <mi> z </mi> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 2 </mn> </msup> </mrow> <mo> - </mo> <mn> 4665600 </mn> </mrow> <mo> ) </mo> </mrow> <mo> &#8290; </mo> <msqrt> <mi> z </mi> </msqrt> </mrow> <mo> + </mo> <mrow> <mn> 330 </mn> <mo> &#8290; </mo> <msup> <mi> b </mi> <mn> 9 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 4 </mn> </msup> <mo> &#8290; </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <msup> <mi> z </mi> <mn> 5 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 10 </mn> </msup> </mrow> <mo> - </mo> <mrow> <mn> 98 </mn> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 4 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 8 </mn> </msup> </mrow> <mo> - </mo> <mrow> <mn> 3696 </mn> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 3 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 6 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 110880 </mn> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 4 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 3769920 </mn> <mo> &#8290; </mo> <mi> z </mi> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 2 </mn> </msup> </mrow> <mo> + </mo> <mn> 33264000 </mn> </mrow> <mo> ) </mo> </mrow> <mo> &#8290; </mo> <msqrt> <mi> z </mi> </msqrt> </mrow> <mo> + </mo> <mrow> <mn> 165 </mn> <mo> &#8290; </mo> <msup> <mi> b </mi> <mn> 7 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 6 </mn> </msup> <mo> &#8290; </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <msup> <mi> z </mi> <mn> 5 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 10 </mn> </msup> </mrow> <mo> - </mo> <mrow> <mn> 144 </mn> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 4 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 8 </mn> </msup> </mrow> <mo> - </mo> <mrow> <mn> 1344 </mn> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 3 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 6 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 354816 </mn> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 4 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 3991680 </mn> <mo> &#8290; </mo> <mi> z </mi> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 2 </mn> </msup> </mrow> <mo> - </mo> <mn> 31933440 </mn> </mrow> <mo> ) </mo> </mrow> <mo> &#8290; </mo> <msqrt> <mi> z </mi> </msqrt> </mrow> <mo> + </mo> <mrow> <mn> 55 </mn> <mo> &#8290; </mo> <msup> <mi> b </mi> <mn> 5 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 8 </mn> </msup> <mo> &#8290; </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <msup> <mi> z </mi> <mn> 5 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 10 </mn> </msup> </mrow> <mo> - </mo> <mrow> <mn> 198 </mn> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 4 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 8 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 5184 </mn> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 3 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 6 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 508032 </mn> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 4 </mn> </msup> </mrow> <mo> - </mo> <mrow> <mn> 11975040 </mn> <mo> &#8290; </mo> <mi> z </mi> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 2 </mn> </msup> </mrow> <mo> - </mo> <mn> 215550720 </mn> </mrow> <mo> ) </mo> </mrow> <mo> &#8290; </mo> <msqrt> <mi> z </mi> </msqrt> </mrow> <mo> + </mo> <mrow> <mn> 11 </mn> <mo> &#8290; </mo> <msup> <mi> b </mi> <mn> 3 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 10 </mn> </msup> <mo> &#8290; </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <msup> <mi> z </mi> <mn> 5 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 10 </mn> </msup> </mrow> <mo> - </mo> <mrow> <mn> 260 </mn> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 4 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 8 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 18000 </mn> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 3 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 6 </mn> </msup> </mrow> <mo> - </mo> <mrow> <mn> 34473600 </mn> <mo> &#8290; </mo> <mi> z </mi> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 2 </mn> </msup> </mrow> <mo> + </mo> <mn> 558835200 </mn> </mrow> <mo> ) </mo> </mrow> <mo> &#8290; </mo> <msqrt> <mi> z </mi> </msqrt> </mrow> <mo> + </mo> <mrow> <mi> b </mi> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 12 </mn> </msup> <mo> &#8290; </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <msup> <mi> z </mi> <mn> 5 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 10 </mn> </msup> </mrow> <mo> - </mo> <mrow> <mn> 330 </mn> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 4 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 8 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 39600 </mn> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 3 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 6 </mn> </msup> </mrow> <mo> - </mo> <mrow> <mn> 2328480 </mn> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 4 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 59875200 </mn> <mo> &#8290; </mo> <mi> z </mi> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 2 </mn> </msup> </mrow> <mo> - </mo> <mn> 439084800 </mn> </mrow> <mo> ) </mo> </mrow> <mo> &#8290; </mo> <msqrt> <mi> z </mi> </msqrt> </mrow> <mo> + </mo> <mrow> <mn> 990 </mn> <mo> &#8290; </mo> <msup> <mi> b </mi> <mn> 8 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 4 </mn> </msup> <mo> &#8290; </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <msup> <mi> z </mi> <mn> 5 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 10 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 238 </mn> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 4 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 8 </mn> </msup> </mrow> <mo> - </mo> <mrow> <mn> 3696 </mn> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 3 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 6 </mn> </msup> </mrow> <mo> - </mo> <mrow> <mn> 332640 </mn> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 4 </mn> </msup> </mrow> <mo> - </mo> <mrow> <mn> 3326400 </mn> <mo> &#8290; </mo> <mi> z </mi> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 2 </mn> </msup> </mrow> <mo> - </mo> <mn> 19958400 </mn> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> + </mo> <mrow> <mn> 462 </mn> <mo> &#8290; </mo> <msup> <mi> b </mi> <mn> 10 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 2 </mn> </msup> <mo> &#8290; </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <msup> <mi> z </mi> <mn> 5 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 10 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 660 </mn> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 4 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 8 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 7920 </mn> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 3 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 6 </mn> </msup> </mrow> <mo> - </mo> <mrow> <mn> 316800 </mn> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 4 </mn> </msup> </mrow> <mo> - </mo> <mrow> <mn> 5227200 </mn> <mo> &#8290; </mo> <mi> z </mi> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 2 </mn> </msup> </mrow> <mo> + </mo> <mn> 5702400 </mn> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> + </mo> <mrow> <mn> 99 </mn> <mo> &#8290; </mo> <msup> <mi> b </mi> <mn> 2 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 10 </mn> </msup> <mo> &#8290; </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <msup> <mi> z </mi> <mn> 5 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 10 </mn> </msup> </mrow> <mo> - </mo> <mrow> <mn> 20 </mn> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 4 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 8 </mn> </msup> </mrow> <mo> - </mo> <mrow> <mn> 5040 </mn> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 3 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 6 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 403200 </mn> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 4 </mn> </msup> </mrow> <mo> - </mo> <mrow> <mn> 8668800 </mn> <mo> &#8290; </mo> <mi> z </mi> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 2 </mn> </msup> </mrow> <mo> + </mo> <mn> 26611200 </mn> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> + </mo> <mrow> <mn> 11 </mn> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 12 </mn> </msup> <mo> &#8290; </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <msup> <mi> z </mi> <mn> 5 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 10 </mn> </msup> </mrow> <mo> - </mo> <mrow> <mn> 90 </mn> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 4 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 8 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 5040 </mn> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 3 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 6 </mn> </msup> </mrow> <mo> - </mo> <mrow> <mn> 151200 </mn> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 4 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 1814400 </mn> <mo> &#8290; </mo> <mi> z </mi> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 2 </mn> </msup> </mrow> <mo> - </mo> <mn> 3628800 </mn> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> - </mo> <mrow> <mn> 462 </mn> <mo> &#8290; </mo> <msup> <mi> b </mi> <mn> 12 </mn> </msup> <mo> &#8290; </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <msup> <mi> z </mi> <mn> 5 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 10 </mn> </msup> </mrow> <mo> - </mo> <mrow> <mn> 510 </mn> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 4 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 8 </mn> </msup> </mrow> <mo> - </mo> <mrow> <mn> 13920 </mn> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 3 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 6 </mn> </msup> </mrow> <mo> - </mo> <mrow> <mn> 129600 </mn> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 4 </mn> </msup> </mrow> <mo> - </mo> <mrow> <mn> 1857600 </mn> <mo> &#8290; </mo> <mi> z </mi> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 2 </mn> </msup> </mrow> <mo> + </mo> <mn> 86400 </mn> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> + </mo> <mrow> <mn> 165 </mn> <mo> &#8290; </mo> <msup> <mi> b </mi> <mn> 6 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 6 </mn> </msup> <mo> &#8290; </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mn> 5 </mn> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 5 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 10 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 624 </mn> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 4 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 8 </mn> </msup> </mrow> <mo> - </mo> <mrow> <mn> 38976 </mn> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 3 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 6 </mn> </msup> </mrow> <mo> - </mo> <mrow> <mn> 887040 </mn> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 4 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 19958400 </mn> <mo> &#8290; </mo> <mi> z </mi> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 2 </mn> </msup> </mrow> <mo> + </mo> <mn> 223534080 </mn> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> + </mo> <mrow> <mn> 55 </mn> <mo> &#8290; </mo> <msup> <mi> b </mi> <mn> 4 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 8 </mn> </msup> <mo> &#8290; </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mn> 7 </mn> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 5 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 10 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 342 </mn> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 4 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 8 </mn> </msup> </mrow> <mo> - </mo> <mrow> <mn> 60480 </mn> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 3 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 6 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 1088640 </mn> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 4 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 43908480 </mn> <mo> &#8290; </mo> <mi> z </mi> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 2 </mn> </msup> </mrow> <mo> - </mo> <mn> 359251200 </mn> </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> <mo> - </mo> <mrow> <mi> c </mi> <mo> &#8290; </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mn> 330 </mn> <mo> &#8290; </mo> <msup> <mi> b </mi> <mn> 14 </mn> </msup> <mo> &#8290; </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <msup> <mi> z </mi> <mn> 4 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 8 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 72 </mn> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 3 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 6 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 864 </mn> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 4 </mn> </msup> </mrow> <mo> + </mo> <mn> 181440 </mn> </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> 165 </mn> <mo> &#8290; </mo> <msup> <mi> b </mi> <mn> 16 </mn> </msup> <mo> &#8290; </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <msup> <mi> z </mi> <mn> 3 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 6 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 66 </mn> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 4 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 1200 </mn> <mo> &#8290; </mo> <mi> z </mi> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 2 </mn> </msup> </mrow> <mo> + </mo> <mn> 14112 </mn> </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> 55 </mn> <mo> &#8290; </mo> <msup> <mi> b </mi> <mn> 18 </mn> </msup> <mo> &#8290; </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <msup> <mi> z </mi> <mn> 2 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 4 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 52 </mn> <mo> &#8290; </mo> <mi> z </mi> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 2 </mn> </msup> </mrow> <mo> + </mo> <mn> 720 </mn> </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> 11 </mn> <mo> &#8290; </mo> <msup> <mi> b </mi> <mn> 20 </mn> </msup> <mo> &#8290; </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mi> z </mi> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 2 </mn> </msup> </mrow> <mo> + </mo> <mn> 30 </mn> </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> <msup> <mi> b </mi> <mn> 22 </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> <msup> <mi> b </mi> <mn> 21 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 5 </mn> </msup> </mrow> <mo> - </mo> <mrow> <mn> 220 </mn> <mo> &#8290; </mo> <msup> <mi> b </mi> <mn> 19 </mn> </msup> <mo> &#8290; </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mi> z </mi> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 2 </mn> </msup> </mrow> <mo> + </mo> <mn> 18 </mn> </mrow> <mo> ) </mo> </mrow> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 4 </mn> </msup> </mrow> <mo> - </mo> <mrow> <mn> 990 </mn> <mo> &#8290; </mo> <msup> <mi> b </mi> <mn> 17 </mn> </msup> <mo> &#8290; </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <msup> <mi> z </mi> <mn> 2 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 4 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 28 </mn> <mo> &#8290; </mo> <mi> z </mi> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 2 </mn> </msup> </mrow> <mo> + </mo> <mn> 336 </mn> </mrow> <mo> ) </mo> </mrow> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 3 </mn> </msup> </mrow> <mo> - </mo> <mrow> <mn> 2640 </mn> <mo> &#8290; </mo> <msup> <mi> b </mi> <mn> 15 </mn> </msup> <mo> &#8290; </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <msup> <mi> z </mi> <mn> 3 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 6 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 30 </mn> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 4 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 336 </mn> <mo> &#8290; </mo> <mi> z </mi> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 2 </mn> </msup> </mrow> <mo> + </mo> <mn> 5040 </mn> </mrow> <mo> ) </mo> </mrow> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> </mrow> <mo> - </mo> <mrow> <mn> 4620 </mn> <mo> &#8290; </mo> <msup> <mi> b </mi> <mn> 13 </mn> </msup> <mo> &#8290; </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <msup> <mi> z </mi> <mn> 4 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 8 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 24 </mn> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 3 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 6 </mn> </msup> </mrow> <mo> - </mo> <mrow> <mn> 288 </mn> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 4 </mn> </msup> </mrow> <mo> - </mo> <mrow> <mn> 8640 </mn> <mo> &#8290; </mo> <mi> z </mi> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 2 </mn> </msup> </mrow> <mo> + </mo> <mn> 43200 </mn> </mrow> <mo> ) </mo> </mrow> <mo> &#8290; </mo> <mi> z </mi> </mrow> <mo> + </mo> <mrow> <mn> 165 </mn> <mo> &#8290; </mo> <msup> <mi> b </mi> <mn> 6 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 6 </mn> </msup> <mo> &#8290; </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <msup> <mi> z </mi> <mn> 5 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 10 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 16 </mn> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 4 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 8 </mn> </msup> </mrow> <mo> - </mo> <mrow> <mn> 6720 </mn> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 3 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 6 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 64512 </mn> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 4 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 7539840 </mn> <mo> &#8290; </mo> <mi> z </mi> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 2 </mn> </msup> </mrow> <mo> + </mo> <mn> 31933440 </mn> </mrow> <mo> ) </mo> </mrow> <mo> &#8290; </mo> <msqrt> <mi> z </mi> </msqrt> </mrow> <mo> + </mo> <mrow> <mn> 330 </mn> <mo> &#8290; </mo> <msup> <mi> b </mi> <mn> 8 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 4 </mn> </msup> <mo> &#8290; </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <msup> <mi> z </mi> <mn> 5 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 10 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 42 </mn> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 4 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 8 </mn> </msup> </mrow> <mo> - </mo> <mrow> <mn> 5040 </mn> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 3 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 6 </mn> </msup> </mrow> <mo> - </mo> <mrow> <mn> 110880 </mn> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 4 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 1995840 </mn> <mo> &#8290; </mo> <mi> z </mi> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 2 </mn> </msup> </mrow> <mo> + </mo> <mn> 35925120 </mn> </mrow> <mo> ) </mo> </mrow> <mo> &#8290; </mo> <msqrt> <mi> z </mi> </msqrt> </mrow> <mo> + </mo> <mrow> <mn> 462 </mn> <mo> &#8290; </mo> <msup> <mi> b </mi> <mn> 10 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 2 </mn> </msup> <mo> &#8290; </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <msup> <mi> z </mi> <mn> 5 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 10 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 60 </mn> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 4 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 8 </mn> </msup> </mrow> <mo> - </mo> <mrow> <mn> 2640 </mn> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 3 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 6 </mn> </msup> </mrow> <mo> - </mo> <mrow> <mn> 126720 </mn> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 4 </mn> </msup> </mrow> <mo> - </mo> <mrow> <mn> 1425600 </mn> <mo> &#8290; </mo> <mi> z </mi> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 2 </mn> </msup> </mrow> <mo> - </mo> <mn> 13305600 </mn> </mrow> <mo> ) </mo> </mrow> <mo> &#8290; </mo> <msqrt> <mi> z </mi> </msqrt> </mrow> <mo> + </mo> <mrow> <mn> 462 </mn> <mo> &#8290; </mo> <msup> <mi> b </mi> <mn> 12 </mn> </msup> <mo> &#8290; </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <msup> <mi> z </mi> <mn> 5 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 10 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 70 </mn> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 4 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 8 </mn> </msup> </mrow> <mo> - </mo> <mrow> <mn> 480 </mn> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 3 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 6 </mn> </msup> </mrow> <mo> - </mo> <mrow> <mn> 60480 </mn> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 4 </mn> </msup> </mrow> <mo> - </mo> <mrow> <mn> 820800 </mn> <mo> &#8290; </mo> <mi> z </mi> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 2 </mn> </msup> </mrow> <mo> + </mo> <mn> 950400 </mn> </mrow> <mo> ) </mo> </mrow> <mo> &#8290; </mo> <msqrt> <mi> z </mi> </msqrt> </mrow> <mo> + </mo> <mrow> <mn> 55 </mn> <mo> &#8290; </mo> <msup> <mi> b </mi> <mn> 4 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 8 </mn> </msup> <mo> &#8290; </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <msup> <mi> z </mi> <mn> 5 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 10 </mn> </msup> </mrow> <mo> - </mo> <mrow> <mn> 18 </mn> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 4 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 8 </mn> </msup> </mrow> <mo> - </mo> <mrow> <mn> 6336 </mn> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 3 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 6 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 362880 </mn> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 4 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 2540160 </mn> <mo> &#8290; </mo> <mi> z </mi> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 2 </mn> </msup> </mrow> <mo> - </mo> <mn> 199584000 </mn> </mrow> <mo> ) </mo> </mrow> <mo> &#8290; </mo> <msqrt> <mi> z </mi> </msqrt> </mrow> <mo> + </mo> <mrow> <mn> 11 </mn> <mo> &#8290; </mo> <msup> <mi> b </mi> <mn> 2 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 10 </mn> </msup> <mo> &#8290; </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <msup> <mi> z </mi> <mn> 5 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 10 </mn> </msup> </mrow> <mo> - </mo> <mrow> <mn> 60 </mn> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 4 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 8 </mn> </msup> </mrow> <mo> - </mo> <mrow> <mn> 2160 </mn> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 3 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 6 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 483840 </mn> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 4 </mn> </msup> </mrow> <mo> - </mo> <mrow> <mn> 19958400 </mn> <mo> &#8290; </mo> <mi> z </mi> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 2 </mn> </msup> </mrow> <mo> + </mo> <mn> 195955200 </mn> </mrow> <mo> ) </mo> </mrow> <mo> &#8290; </mo> <msqrt> <mi> z </mi> </msqrt> </mrow> <mo> + </mo> <mrow> <msup> <mi> c </mi> <mn> 12 </mn> </msup> <mo> &#8290; </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <msup> <mi> z </mi> <mn> 5 </mn> </msup> <mo> &#8290; </mo> <msup> <mi> c </mi> <mn> 10 </mn> </msup> </mrow> <mo> - </mo> <mrow> <mn> 110 </mn> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 4 </mn> 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Date Added to functions.wolfram.com (modification date)





2002-12-18