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- Improper integral
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How to use it?
- Integral of d{x}:
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Integral of x^5/(x^2+1)
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Integral of (x-2)^2dx
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Integral of cos(3x)dx
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Integral of (4-x^2)^0.5
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Identical expressions
- two x/(x^ two - one)^2
- 2x divide by (x squared minus 1) squared
- two x divide by (x to the power of two minus one) squared
- 2x/(x2-1)2
- 2x/x2-12
- 2x/(x²-1)²
- 2x/(x to the power of 2-1) to the power of 2
- 2x/x^2-1^2
- 2x divide by (x^2-1)^2
- 2x/(x^2-1)^2dx
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Similar expressions
- 2x/(x^2+1)^2
Integral of 2x/(x^2-1)^2 dx
The solution
You have entered
[src]
1 / | | 2*x | --------- dx | 2 | / 2 \ | \x - 1/ | / 0
$$\int\limits_{0}^{1} \frac{2 x}{\left(x^{2} - 1\right)^{2}}\, dx$$
Integral((2*x)/(x^2 - 1)^2, (x, 0, 1))
The answer (Indefinite)
[src]
/ | | 2*x 1 1 | --------- dx = C + --------- - ---------- | 2 2*(1 + x) 2*(-1 + x) | / 2 \ | \x - 1/ | /
$$\int \frac{2 x}{\left(x^{2} - 1\right)^{2}}\, dx = C + \frac{1}{2 \left(x + 1\right)} - \frac{1}{2 \left(x - 1\right)}$$
The graph
Use the examples entering the upper and lower limits of integration.