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- Improper integral
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How to use it?
- Integral of d{x}:
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Integral of sin^5
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Integral of x^4/(x^2+1)
- Integral of x^2*a^x
- Integral of sin(cosx)
- Derivative of:
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x^3/(x-1)^2
- Graphing y =:
- x^3/(x-1)^2
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Identical expressions
- x^ three /(x- one)^ two
- x cubed divide by (x minus 1) squared
- x to the power of three divide by (x minus one) to the power of two
- x3/(x-1)2
- x3/x-12
- x³/(x-1)²
- x to the power of 3/(x-1) to the power of 2
- x^3/x-1^2
- x^3 divide by (x-1)^2
- x^3/(x-1)^2dx
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Similar expressions
- x^3/(x+1)^2
Integral of x^3/(x-1)^2 dx
The solution
You have entered
[src]
1 / | | 3 | x | -------- dx | 2 | (x - 1) | / 0
$$\int\limits_{0}^{1} \frac{x^{3}}{\left(x - 1\right)^{2}}\, dx$$
Integral(x^3/(x - 1)^2, (x, 0, 1))
The answer (Indefinite)
[src]
/ | | 3 2 | x x 1 | -------- dx = C + -- - ------ + 2*x + 3*log(-1 + x) | 2 2 -1 + x | (x - 1) | /
$$\int \frac{x^{3}}{\left(x - 1\right)^{2}}\, dx = C + \frac{x^{2}}{2} + 2 x + 3 \log{\left(x - 1 \right)} - \frac{1}{x - 1}$$
Use the examples entering the upper and lower limits of integration.