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- Improper integral
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How to use it?
- Integral of d{x}:
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Integral of (1+x)/x
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Integral of e^3
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Integral of x^3*exp(x^2)
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Integral of (x+1)^4
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Identical expressions
- one /(xlg(x))^ three
- 1 divide by (xlg(x)) cubed
- one divide by (xlg(x)) to the power of three
- 1/(xlg(x))3
- 1/xlgx3
- 1/(xlg(x))³
- 1/(xlg(x)) to the power of 3
- 1/xlgx^3
- 1 divide by (xlg(x))^3
- 1/(xlg(x))^3dx
Integral of 1/(xlg(x))^3 dx
The solution
You have entered
[src]
-2 e / | | 1 | ----------- dx | 3 | (x*log(x)) | / 0
$$\int\limits_{0}^{e^{-2}} \frac{1}{\left(x \log{\left(x \right)}\right)^{3}}\, dx$$
Integral(1/((x*log(x))^3), (x, 0, exp(-2)))
The answer (Indefinite)
[src]
/ | | 1 -1 + 2*log(x) | ----------- dx = C + 2*Ei(-2*log(x)) + ------------- | 3 2 2 | (x*log(x)) 2*x *log (x) | /
$$\int \frac{1}{\left(x \log{\left(x \right)}\right)^{3}}\, dx = C + 2 \operatorname{Ei}{\left(- 2 \log{\left(x \right)} \right)} + \frac{2 \log{\left(x \right)} - 1}{2 x^{2} \log{\left(x \right)}^{2}}$$
The answer
[src]
-oo + 2*Ei(4)
$$-\infty + 2 \operatorname{Ei}{\left(4 \right)}$$
=
=
-oo + 2*Ei(4)
$$-\infty + 2 \operatorname{Ei}{\left(4 \right)}$$
-oo + 2*Ei(4)
Use the examples entering the upper and lower limits of integration.