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- Improper integral
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How to use it?
- Integral of d{x}:
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Integral of 1/5x
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Integral of (sec(x))^3
- Integral of lnx/sqrtx
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Integral of x^2*e^(x^3)
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Identical expressions
- dx/(ln(x))^ three
- dx divide by (ln(x)) cubed
- dx divide by (ln(x)) to the power of three
- dx/(ln(x))3
- dx/lnx3
- dx/(ln(x))³
- dx/(ln(x)) to the power of 3
- dx/lnx^3
- dx divide by (ln(x))^3
Integral of dx/(ln(x))^3 dx
The solution
You have entered
[src]
oo / | | 1 | ------- dx | 3 | log (x) | / E
$$\int\limits_{e}^{\infty} \frac{1}{\log{\left(x \right)}^{3}}\, dx$$
Integral(1/(log(x)^3), (x, E, oo))
The answer (Indefinite)
[src]
/ | | 1 li(x) -x - x*log(x) | ------- dx = C + ----- + ------------- | 3 2 2 | log (x) 2*log (x) | /
$$\int \frac{1}{\log{\left(x \right)}^{3}}\, dx = C + \frac{- x \log{\left(x \right)} - x}{2 \log{\left(x \right)}^{2}} + \frac{\operatorname{li}{\left(x \right)}}{2}$$
The graph
The answer
[src]
li(E)
oo - -----
2
$$- \frac{\operatorname{li}{\left(e \right)}}{2} + \infty$$
=
=
li(E)
oo - -----
2
$$- \frac{\operatorname{li}{\left(e \right)}}{2} + \infty$$
oo - li(E)/2
Use the examples entering the upper and lower limits of integration.