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- Improper integral
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How to use it?
- Integral of d{x}:
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Integral of 1/(x*(1-x))
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Integral of x*sin(x)^2
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Integral of 1/(1+sqrt(x+1))
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Integral of x*e^(-4x)
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Identical expressions
- one /(x*(one -x))
- 1 divide by (x multiply by (1 minus x))
- one divide by (x multiply by (one minus x))
- 1/(x(1-x))
- 1/x1-x
- 1 divide by (x*(1-x))
- 1/(x*(1-x))dx
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Similar expressions
- 1/(x*(1+x))
- 1/(x*(((1-(x^2)))^(1/2)))
Integral of 1/(x*(1-x)) dx
The solution
You have entered
[src]
1 / | | 1 | --------- dx | x*(1 - x) | / 0
$$\int\limits_{0}^{1} \frac{1}{x \left(1 - x\right)}\, dx$$
Integral(1/(x*(1 - x)), (x, 0, 1))
The answer (Indefinite)
[src]
/ | | 1 | --------- dx = C - log(-1 + x) + log(x) | x*(1 - x) | /
$$\int \frac{1}{x \left(1 - x\right)}\, dx = C + \log{\left(x \right)} - \log{\left(x - 1 \right)}$$
The graph
The graph
Use the examples entering the upper and lower limits of integration.