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- Improper integral
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How to use it?
- Integral of d{x}:
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Integral of e^3x
- Integral of sinx/cos2x
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Integral of -e^x
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Integral of sqrt(x^2+1)/x^3
- Derivative of:
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x^2/(x+1)^2
- How do you in partial fractions?:
- x^2/(x+1)^2
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Identical expressions
- x^ two /(x+ one)^ two
- x squared divide by (x plus 1) squared
- x to the power of two divide by (x plus one) to the power of two
- x2/(x+1)2
- x2/x+12
- x²/(x+1)²
- x to the power of 2/(x+1) to the power of 2
- x^2/x+1^2
- x^2 divide by (x+1)^2
- x^2/(x+1)^2dx
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Similar expressions
- x^2/(x-1)^2
Integral of x^2/(x+1)^2 dx
The solution
You have entered
[src]
1 / | | 2 | x | -------- dx | 2 | (x + 1) | / 0
$$\int\limits_{0}^{1} \frac{x^{2}}{\left(x + 1\right)^{2}}\, dx$$
Integral(x^2/(x + 1)^2, (x, 0, 1))
The answer (Indefinite)
[src]
/ | | 2 | x 1 | -------- dx = C + x - ----- - 2*log(1 + x) | 2 1 + x | (x + 1) | /
$$\int \frac{x^{2}}{\left(x + 1\right)^{2}}\, dx = C + x - 2 \log{\left(x + 1 \right)} - \frac{1}{x + 1}$$
The graph
The answer
[src]
3/2 - 2*log(2)
$$\frac{3}{2} - 2 \log{\left(2 \right)}$$
=
=
3/2 - 2*log(2)
$$\frac{3}{2} - 2 \log{\left(2 \right)}$$
3/2 - 2*log(2)
The graph
Use the examples entering the upper and lower limits of integration.