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How to use it?
- Integral of d{x}:
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Integral of e^x/x^2
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Integral of 1/√(4-x^2)
- Integral of a^x*e^x
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Integral of 1/(x^2+2*x+5)
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Identical expressions
- ln^ three (one -x)/x- one
- ln cubed (1 minus x) divide by x minus 1
- ln to the power of three (one minus x) divide by x minus one
- ln3(1-x)/x-1
- ln31-x/x-1
- ln³(1-x)/x-1
- ln to the power of 3(1-x)/x-1
- ln^31-x/x-1
- ln^3(1-x) divide by x-1
- ln^3(1-x)/x-1dx
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Similar expressions
- ln^3(1+x)/x-1
- ln^3(1-x)/x+1
Integral of ln^3(1-x)/x-1 dx
The solution
You have entered
[src]
1 / | | / 3 \ | |log (1 - x) | | |----------- - 1| dx | \ x / | / 0
$$\int\limits_{0}^{1} \left(-1 + \frac{\log{\left(1 - x \right)}^{3}}{x}\right)\, dx$$
Integral(log(1 - x)^3/x - 1, (x, 0, 1))
The answer (Indefinite)
[src]
/ / | | | / 3 \ | 3 | |log (1 - x) | | log (1 - x) | |----------- - 1| dx = C - x + | ----------- dx | \ x / | x | | / /
$$\int \left(-1 + \frac{\log{\left(1 - x \right)}^{3}}{x}\right)\, dx = C - x + \int \frac{\log{\left(1 - x \right)}^{3}}{x}\, dx$$
The answer
[src]
1
/
1 |
/ | 3
| | -log (1 - x)
- | 1 dx - | ------------- dx
| | x
/ |
0 /
0
$$- \int\limits_{0}^{1} 1\, dx - \int\limits_{0}^{1} \left(- \frac{\log{\left(1 - x \right)}^{3}}{x}\right)\, dx$$
=
=
1
/
1 |
/ | 3
| | -log (1 - x)
- | 1 dx - | ------------- dx
| | x
/ |
0 /
0
$$- \int\limits_{0}^{1} 1\, dx - \int\limits_{0}^{1} \left(- \frac{\log{\left(1 - x \right)}^{3}}{x}\right)\, dx$$
-Integral(1, (x, 0, 1)) - Integral(-log(1 - x)^3/x, (x, 0, 1))
Use the examples entering the upper and lower limits of integration.