Mister Exam
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- Improper integral
- Double Integral
- Triple Integral
- Curvilinear integral
- Derivative Step by Step
- Differential equations Step by Step
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How to use it?
- Integral of d{x}:
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Integral of secx
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Integral of tan^5(x)
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Integral of sec(x)tan(x)
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Integral of xe^(x/3)dx
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Identical expressions
- cos^4x/sin^5x
- co sinus of e of to the power of 4x divide by sinus of to the power of 5x
- cos4x/sin5x
- cos⁴x/sin⁵x
- cos^4x divide by sin^5x
- cos^4x/sin^5xdx
Integral of cos^4x/sin^5x dx
The solution
You have entered
[src]
1 / | | 4 | cos (x) | ------- dx | 5 | sin (x) | / 0
$$\int\limits_{0}^{1} \frac{\cos^{4}{\left(x \right)}}{\sin^{5}{\left(x \right)}}\, dx$$
Integral(cos(x)^4/(sin(x)^5), (x, 0, 1))
The answer (Indefinite)
[src]
/ | | 4 3 | cos (x) 3*log(1 + cos(x)) 3*log(-1 + cos(x)) - 5*cos (x) + 3*cos(x) | ------- dx = C - ----------------- + ------------------ + -------------------------- | 5 16 16 2 4 | sin (x) 8 - 16*cos (x) + 8*cos (x) | /
$$-{{3\,\log \left(\cos x+1\right)}\over{16}}+{{3\,\log \left(\cos x-
1\right)}\over{16}}-{{5\,\cos ^3x-3\,\cos x}\over{8\,\cos ^4x-16\,
\cos ^2x+8}}$$
The graph
The answer
[src]
3*pi*I
oo + ------
16
$${\it \%a}$$
=
=
3*pi*I
oo + ------
16
$$\infty + \frac{3 i \pi}{16}$$
The graph
Use the examples entering the upper and lower limits of integration.