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- Improper integral
- Double Integral
- Triple Integral
- Curvilinear integral
- Derivative Step by Step
- Differential equations Step by Step
- Limits Step by Step
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How to use it?
- Integral of d{x}:
- Integral of x*cos^2(x)/(sqrt(x^6-1))
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Integral of x^5lnx
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Integral of x^4+2x
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Integral of x^3*lnx*dx
- Derivative of:
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log(x)/(1-x)
- Limit of the function:
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log(x)/(1-x)
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Identical expressions
- log(x)/(one -x)
- logarithm of (x) divide by (1 minus x)
- logarithm of (x) divide by (one minus x)
- logx/1-x
- log(x) divide by (1-x)
- log(x)/(1-x)dx
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Similar expressions
- log(x)/(1+x)
Integral of log(x)/(1-x) dx
The solution
You have entered
[src]
1 / | | log(x) | ------ dx | 1 - x | / 0
$$\int\limits_{0}^{1} \frac{\log{\left(x \right)}}{1 - x}\, dx$$
Integral(log(x)/(1 - x), (x, 0, 1))
The answer (Indefinite)
[src]
/ | | log(x) / pi*I\ | ------ dx = C + polylog\2, (-1 + x)*e / | 1 - x | /
$$\int \frac{\log{\left(x \right)}}{1 - x}\, dx = C + \operatorname{Li}_{2}\left(\left(x - 1\right) e^{i \pi}\right)$$
The graph
The answer
[src]
2 -pi ----- 6
$$- \frac{\pi^{2}}{6}$$
=
=
2 -pi ----- 6
$$- \frac{\pi^{2}}{6}$$
-pi^2/6
Use the examples entering the upper and lower limits of integration.