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- Improper integral
- Double Integral
- Triple Integral
- Curvilinear integral
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How to use it?
- Integral of d{x}:
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Integral of sqrt(1+x^2)
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Integral of 6x
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Integral of x^(3/2)
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Integral of x+2
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Identical expressions
- one /(cosxsin^3x)
- 1 divide by ( co sinus of e of x sinus of cubed x)
- one divide by ( co sinus of e of x sinus of cubed x)
- 1/(cosxsin3x)
- 1/cosxsin3x
- 1/(cosxsin³x)
- 1/(cosxsin to the power of 3x)
- 1/cosxsin^3x
- 1 divide by (cosxsin^3x)
- 1/(cosxsin^3x)dx
Integral of 1/(cosxsin^3x) dx
The solution
You have entered
[src]
1 / | | 1 | -------------- dx | 3 | cos(x)*sin (x) | / 0
$$\int\limits_{0}^{1} \frac{1}{\sin^{3}{\left(x \right)} \cos{\left(x \right)}}\, dx$$
Integral(1/(cos(x)*sin(x)^3), (x, 0, 1))
The answer (Indefinite)
[src]
/ | / 2 \ | 1 1 log\-1 + sin (x)/ | -------------- dx = C - --------- - ----------------- + log(sin(x)) | 3 2 2 | cos(x)*sin (x) 2*sin (x) | /
$$\int \frac{1}{\sin^{3}{\left(x \right)} \cos{\left(x \right)}}\, dx = C - \frac{\log{\left(\sin^{2}{\left(x \right)} - 1 \right)}}{2} + \log{\left(\sin{\left(x \right)} \right)} - \frac{1}{2 \sin^{2}{\left(x \right)}}$$
The answer
[src]
pi*I
oo - ----
2
$$\infty - \frac{i \pi}{2}$$
=
=
pi*I
oo - ----
2
$$\infty - \frac{i \pi}{2}$$
oo - pi*i/2
Use the examples entering the upper and lower limits of integration.