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- Integral of d{x}:
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Integral of sin(log(x))
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Integral of exp(-x^2)
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Integral of t^4
- Integral of √2px
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Identical expressions
- cos4x/sin³4x
- co sinus of e of 4x divide by sinus of ³4x
- cos4x divide by sin³4x
- cos4x/sin³4xdx
Integral of cos4x/sin³4x dx
The solution
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[src]
1 / | | cos(4*x) | -------- dx | 34 | sin (x) | / 0
$$\int\limits_{0}^{1} \frac{\cos{\left(4 x \right)}}{\sin^{34}{\left(x \right)}}\, dx$$
Integral(cos(4*x)/(sin(x)^34), (x, 0, 1))
The answer (Indefinite)
[src]
/ | 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) | /
$$-{{9917826435\,\tan ^{28}x+99178264350\,\tan ^{26}x+501401225325\,
\tan ^{24}x+1640949464700\,\tan ^{22}x+3818363177475\,\tan ^{20}x+
6618496174290\,\tan ^{18}x+8759774348325\,\tan ^{16}x+8957363243400
\,\tan ^{14}x+7091245901025\,\tan ^{12}x+4316410548450\,\tan ^{10}x+
1985548852287\,\tan ^8x+668534967100\,\tan ^6x+155607276825\,\tan ^4
x+22395091950\,\tan ^2x+1502700975}\over{49589132175\,\tan ^{33}x}}+
{{2\,\left(1502700975\,\tan ^{28}x+12622688190\,\tan ^{26}x+
58605338025\,\tan ^{24}x+182327718300\,\tan ^{22}x+410237366175\,
\tan ^{20}x+694247850450\,\tan ^{18}x+902522205585\,\tan ^{16}x+
910106425800\,\tan ^{14}x+712517530725\,\tan ^{12}x+429772478850\,
\tan ^{10}x+196200479475\,\tan ^8x+65637978588\,\tan ^6x+15193976525
\,\tan ^4x+2176325550\,\tan ^2x+145422675\right)}\over{1502700975\,
\tan ^{31}x}}-{{145422675\,\tan ^{28}x+678639150\,\tan ^{26}x+
2646692685\,\tan ^{24}x+7561979100\,\tan ^{22}x+16174233075\,\tan ^{
20}x+26466926850\,\tan ^{18}x+33592637925\,\tan ^{16}x+33272708040\,
\tan ^{14}x+25688487825\,\tan ^{12}x+15322957650\,\tan ^{10}x+
6931814175\,\tan ^8x+2301471900\,\tan ^6x+529338537\,\tan ^4x+
75404350\,\tan ^2x+5014575}\over{145422675\,\tan ^{29}x}}$$
Use the examples entering the upper and lower limits of integration.