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- Improper integral
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How to use it?
- Integral of d{x}:
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Integral of xe^(1-x)
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Integral of (x^3+2)/(x^3-4x)
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Integral of tang(x)
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Integral of x/(1-x^4)^(1/2)
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Identical expressions
- (dx)/(((lnx- one)^ two)*x)
- (dx) divide by (((lnx minus 1) squared ) multiply by x)
- (dx) divide by (((lnx minus one) to the power of two) multiply by x)
- (dx)/(((lnx-1)2)*x)
- dx/lnx-12*x
- (dx)/(((lnx-1)²)*x)
- (dx)/(((lnx-1) to the power of 2)*x)
- (dx)/(((lnx-1)^2)x)
- (dx)/(((lnx-1)2)x)
- dx/lnx-12x
- dx/lnx-1^2x
- (dx) divide by (((lnx-1)^2)*x)
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Similar expressions
- (dx)/(((lnx+1)^2)*x)
Integral of (dx)/(((lnx-1)^2)*x) dx
The solution
You have entered
[src]
1 / | | 1 | --------------- dx | 2 | (log(x) - 1) *x | / 2 e
$$\int\limits_{e^{2}}^{1} \frac{1}{x \left(\log{\left(x \right)} - 1\right)^{2}}\, dx$$
Integral(1/((log(x) - 1)^2*x), (x, exp(2), 1))
The answer (Indefinite)
[src]
/ | | 1 1 | --------------- dx = C - ----------- | 2 -1 + log(x) | (log(x) - 1) *x | /
$$\int \frac{1}{x \left(\log{\left(x \right)} - 1\right)^{2}}\, dx = C - \frac{1}{\log{\left(x \right)} - 1}$$
The graph
Use the examples entering the upper and lower limits of integration.