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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^(33/10)/5
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Integral of exp(x)/x
- Integral of x/(x-1)^2
- Integral of 1/(x(x-1))
- Graphing y =:
- 1/(x(x-1))
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Identical expressions
- one /(x(x- one))
- 1 divide by (x(x minus 1))
- one divide by (x(x minus one))
- 1/xx-1
- 1 divide by (x(x-1))
- 1/(x(x-1))dx
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Similar expressions
- (x-x*ln(x)-1)/(x(x-1))
- (3x+1)/(x(x-1)^2)
- 1/x*(x-1)
- 1/(x*(x-1)^2)
- 1/(x(x+1))
- (x^3+1)/(x(x-1)^3)
Integral of 1/(x(x-1)) dx
The solution
You have entered
[src]
1 / | | 1 | 1*--------- dx | x*(x - 1) | / 0
$$\int\limits_{0}^{1} 1 \cdot \frac{1}{x \left(x - 1\right)}\, dx$$
Integral(1/(x*(x - 1*1)), (x, 0, 1))
The answer (Indefinite)
[src]
/ | | 1 | 1*--------- dx = C - log(x) + log(-1 + x) | x*(x - 1) | /
$$\int 1 \cdot \frac{1}{x \left(x - 1\right)}\, dx = C - \log{\left(x \right)} + \log{\left(x - 1 \right)}$$
Use the examples entering the upper and lower limits of integration.