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- Improper integral
- Double Integral
- Triple Integral
- Curvilinear integral
- Derivative Step by Step
- Differential equations Step by Step
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How to use it?
- Integral of d{x}:
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Integral of x*cos(x/2)
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Integral of x*dx/(x^2-1)
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Integral of x^5/(x^2+1)
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Integral of x/(2*x+1)
- Derivative of:
- 1/(x(ln(x)-1))
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Identical expressions
- one /(x(ln(x)- one))
- 1 divide by (x(ln(x) minus 1))
- one divide by (x(ln(x) minus one))
- 1/xlnx-1
- 1 divide by (x(ln(x)-1))
- 1/(x(ln(x)-1))dx
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Similar expressions
- 1/(xln(x-1))
- 1/(x(lnx-1)^4)
- 1/x*(lnx-1)^2
- 1/(x(lnx-1)^3)
- 1/(x(ln(x)+1))
- 1/(x(ln(x)-1)^2)
Integral of 1/(x(ln(x)-1)) dx
The solution
You have entered
[src]
oo / | | 1 | -------------- dx | x*(log(x) - 1) | / 2
$$\int\limits_{2}^{\infty} \frac{1}{x \left(\log{\left(x \right)} - 1\right)}\, dx$$
Integral(1/(x*(log(x) - 1)), (x, 2, oo))
The answer (Indefinite)
[src]
/ | | 1 | -------------- dx = C + log(-1 + log(x)) | x*(log(x) - 1) | /
$$\int \frac{1}{x \left(\log{\left(x \right)} - 1\right)}\, dx = C + \log{\left(\log{\left(x \right)} - 1 \right)}$$
The graph
Use the examples entering the upper and lower limits of integration.