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- Improper integral
- Double Integral
- Triple Integral
- Curvilinear integral
- Derivative Step by Step
- Differential equations Step by Step
- Limits Step by Step
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How to use it?
- Integral of d{x}:
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Integral of √x
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Integral of sec(x)
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Integral of cos^3xsinx
- Integral of (xsinx)/(1+(cosx)^2)
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Identical expressions
- (xsinx)/(one +(cosx)^ two)
- (x sinus of x) divide by (1 plus ( co sinus of e of x) squared )
- (x sinus of x) divide by (one plus ( co sinus of e of x) to the power of two)
- (xsinx)/(1+(cosx)2)
- xsinx/1+cosx2
- (xsinx)/(1+(cosx)²)
- (xsinx)/(1+(cosx) to the power of 2)
- xsinx/1+cosx^2
- (xsinx) divide by (1+(cosx)^2)
- (xsinx)/(1+(cosx)^2)dx
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Similar expressions
- (xsinx)/(1-(cosx)^2)
- xsinx/(1+cosx)^2
Integral of (xsinx)/(1+(cosx)^2) dx
The solution
You have entered
[src]
pi / | | x*sin(x) | ----------- dx | 2 | 1 + cos (x) | / 0
$$\int\limits_{0}^{\pi} \frac{x \sin{\left(x \right)}}{\cos^{2}{\left(x \right)} + 1}\, dx$$
Integral(x*sin(x)/(1 + cos(x)^2), (x, 0, pi))
The answer (Indefinite)
[src]
/ / | | | x*sin(x) | x*sin(x) | ----------- dx = C + | ----------- dx | 2 | 2 | 1 + cos (x) | 1 + cos (x) | | / /
$$\int \frac{x \sin{\left(x \right)}}{\cos^{2}{\left(x \right)} + 1}\, dx = C + \int \frac{x \sin{\left(x \right)}}{\cos^{2}{\left(x \right)} + 1}\, dx$$
The answer
[src]
pi / | | x*sin(x) | ----------- dx | 2 | 1 + cos (x) | / 0
$$\int\limits_{0}^{\pi} \frac{x \sin{\left(x \right)}}{\cos^{2}{\left(x \right)} + 1}\, dx$$
=
=
pi / | | x*sin(x) | ----------- dx | 2 | 1 + cos (x) | / 0
$$\int\limits_{0}^{\pi} \frac{x \sin{\left(x \right)}}{\cos^{2}{\left(x \right)} + 1}\, dx$$
Use the examples entering the upper and lower limits of integration.