Integral of cos4x/sin³4x dx
The solution
The answer (Indefinite)
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| 17 19 11 23 15 9 21 27 25 29 3 31 33
| cos(4*x) 13 7 5 12870*cot (x) 11440*cot (x) 4368*cot (x) 4368*cot (x) 2288*cot (x) 1820*cot (x) 1144*cot (x) 560*cot (x) 364*cot (x) 120*cot (x) 16*cot (x) 16*cot (x) cot (x) 268435456*cos(x) 134217728*cos(x) 33554432*cos(x) 20185088*cos(x) 18743296*cos(x) 16777216*cos(x) 14680064*cos(x) 7340032*cos(x) 1171456*cos(x) 585728*cos(x) 146432*cos(x) 46592*cos(x) 5824*cos(x) 224*cos(x) 8*cos(x) 8*cos(x)
| -------- dx = C - cot(x) - 616*cot (x) - 80*cot (x) - 24*cot (x) - -------------- - -------------- - ------------- - ------------- - ------------- - ------------ - ------------- - ------------ - ------------ - ------------ - ---------- - ----------- - -------- - ----------------- - ------------------ - ------------------ - ------------------- - ------------------- - ----------------- - ----------------- - ------------------ - ------------------ - ----------------- - ----------------- - ---------------- - --------------- - -------------- - ------------ + -----------
| 34 17 19 11 23 3 9 3 27 5 29 3 31 33 4508102925*sin(x) 3 5 13 15 7 9 11 17 19 21 23 25 27 29 31
| sin (x) 4508102925*sin (x) 1502700975*sin (x) 1502700975*sin (x) 1502700975*sin (x) 901620585*sin (x) 901620585*sin (x) 500900325*sin (x) 100180065*sin (x) 53036505*sin (x) 13956975*sin (x) 4652325*sin (x) 606825*sin (x) 24273*sin (x) 899*sin (x) 31*sin (x)
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−49589132175tan33x9917826435tan28x+99178264350tan26x+501401225325tan24x+1640949464700tan22x+3818363177475tan20x+6618496174290tan18x+8759774348325tan16x+8957363243400tan14x+7091245901025tan12x+4316410548450tan10x+1985548852287tan8x+668534967100tan6x+155607276825tan4x+22395091950tan2x+1502700975+1502700975tan31x2(1502700975tan28x+12622688190tan26x+58605338025tan24x+182327718300tan22x+410237366175tan20x+694247850450tan18x+902522205585tan16x+910106425800tan14x+712517530725tan12x+429772478850tan10x+196200479475tan8x+65637978588tan6x+15193976525tan4x+2176325550tan2x+145422675)−145422675tan29x145422675tan28x+678639150tan26x+2646692685tan24x+7561979100tan22x+16174233075tan20x+26466926850tan18x+33592637925tan16x+33272708040tan14x+25688487825tan12x+15322957650tan10x+6931814175tan8x+2301471900tan6x+529338537tan4x+75404350tan2x+5014575
Use the examples entering the upper and lower limits of integration.