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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 -e^x
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Integral of (x)/(1+x^2)
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Integral of dx/(5-3*x)
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Integral of dx/(5-2*x)
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Identical expressions
- (one /xln^3x)^- one
- (1 divide by xln cubed x) to the power of minus 1
- (one divide by xln cubed x) to the power of minus one
- (1/xln3x)-1
- 1/xln3x-1
- (1/xln³x)^-1
- (1/xln to the power of 3x) to the power of -1
- 1/xln^3x^-1
- (1 divide by xln^3x)^-1
- (1/xln^3x)^-1dx
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Similar expressions
- (1/xln^3x)^+1
Integral of (1/xln^3x)^-1 dx
The solution
You have entered
[src]
oo / | | 1 | --------- dx | / 3 \ | |log (x)| | |-------| | \ x / | / E
$$\int\limits_{e}^{\infty} \frac{1}{\frac{1}{x} \log{\left(x \right)}^{3}}\, dx$$
Integral(1/(log(x)^3/x), (x, E, oo))
The answer (Indefinite)
[src]
/ | 2 2 | 1 - x - 2*x *log(x) | --------- dx = C + 2*Ei(2*log(x)) + ------------------ | / 3 \ 2 | |log (x)| 2*log (x) | |-------| | \ x / | /
$$\int \frac{1}{\frac{1}{x} \log{\left(x \right)}^{3}}\, dx = C + \frac{- 2 x^{2} \log{\left(x \right)} - x^{2}}{2 \log{\left(x \right)}^{2}} + 2 \operatorname{Ei}{\left(2 \log{\left(x \right)} \right)}$$
The graph
The answer
[src]
oo - 2*Ei(2)
$$- 2 \operatorname{Ei}{\left(2 \right)} + \infty$$
=
=
oo - 2*Ei(2)
$$- 2 \operatorname{Ei}{\left(2 \right)} + \infty$$
oo - 2*Ei(2)
Use the examples entering the upper and lower limits of integration.