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- Improper integral
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How to use it?
- Integral of d{x}:
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Integral of f(x)=0
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Integral of (x-1)^1/2
- Integral of tan(x*d)^3*tan(x)
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Integral of e^(x^2)*x^3
- Limit of the function:
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1/(x*log(x)^3)
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Identical expressions
- one /(x*log(x)^ three)
- 1 divide by (x multiply by logarithm of (x) cubed )
- one divide by (x multiply by logarithm of (x) to the power of three)
- 1/(x*log(x)3)
- 1/x*logx3
- 1/(x*log(x)³)
- 1/(x*log(x) to the power of 3)
- 1/(xlog(x)^3)
- 1/(xlog(x)3)
- 1/xlogx3
- 1/xlogx^3
- 1 divide by (x*log(x)^3)
- 1/(x*log(x)^3)dx
Integral of 1/(x*log(x)^3) dx
The solution
You have entered
[src]
oo / | | 1 | --------- dx | 3 | x*log (x) | / x e
$$\int\limits_{e^{x}}^{\infty} \frac{1}{x \log{\left(x \right)}^{3}}\, dx$$
Integral(1/(x*log(x)^3), (x, exp(x), oo))
The answer (Indefinite)
[src]
/ | | 1 1 | --------- dx = C - --------- | 3 2 | x*log (x) 2*log (x) | /
$$\int \frac{1}{x \log{\left(x \right)}^{3}}\, dx = C - \frac{1}{2 \log{\left(x \right)}^{2}}$$
The answer
[src]
1
----------
2/ x\
2*log \e /
$$\frac{1}{2 \log{\left(e^{x} \right)}^{2}}$$
=
=
1
----------
2/ x\
2*log \e /
$$\frac{1}{2 \log{\left(e^{x} \right)}^{2}}$$
1/(2*log(exp(x))^2)
Use the examples entering the upper and lower limits of integration.