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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*2^(-x)
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Integral of x^5/(x^2+1)
- Integral of ln(ln(x))/x
- Integral of sin(w*t)^2
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Identical expressions
- one /(x(ln(x)- one)^ two)
- 1 divide by (x(ln(x) minus 1) squared )
- one divide by (x(ln(x) minus one) to the power of two)
- 1/(x(ln(x)-1)2)
- 1/xlnx-12
- 1/(x(ln(x)-1)²)
- 1/(x(ln(x)-1) to the power of 2)
- 1/xlnx-1^2
- 1 divide by (x(ln(x)-1)^2)
- 1/(x(ln(x)-1)^2)dx
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Similar expressions
- 1/(x(ln(x)+1)^2)
Integral of 1/(x(ln(x)-1)^2) dx
The solution
You have entered
[src]
oo / | | 1 | --------------- dx | 2 | x*(log(x) - 1) | / 2 e
$$\int\limits_{e^{2}}^{\infty} \frac{1}{x \left(\log{\left(x \right)} - 1\right)^{2}}\, dx$$
Integral(1/(x*(log(x) - 1)^2), (x, exp(2), oo))
The answer (Indefinite)
[src]
/ | | 1 1 | --------------- dx = C - ----------- | 2 -1 + log(x) | x*(log(x) - 1) | /
$$\int \frac{1}{x \left(\log{\left(x \right)} - 1\right)^{2}}\, dx = C - \frac{1}{\log{\left(x \right)} - 1}$$
The graph
Use the examples entering the upper and lower limits of integration.