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- Improper integral
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How to use it?
- Integral of d{x}:
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Integral of 3
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Integral of s
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Integral of 1/(x^3)
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Integral of tan
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Identical expressions
- one /(x((lnx^ two)+ one))
- 1 divide by (x((lnx squared ) plus 1))
- one divide by (x((lnx to the power of two) plus one))
- 1/(x((lnx2)+1))
- 1/xlnx2+1
- 1/(x((lnx²)+1))
- 1/(x((lnx to the power of 2)+1))
- 1/xlnx^2+1
- 1 divide by (x((lnx^2)+1))
- 1/(x((lnx^2)+1))dx
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Similar expressions
- 1/(x((lnx^2)-1))
Integral of 1/(x((lnx^2)+1)) dx
The solution
You have entered
[src]
1 / | | 1 | 1*--------------- dx | / 2 \ | x*\log (x) + 1/ | / 0
$$\int\limits_{0}^{1} 1 \cdot \frac{1}{x \left(\log{\left(x \right)}^{2} + 1\right)}\, dx$$
Integral(1/(x*(log(x)^2 + 1)), (x, 0, 1))
The answer (Indefinite)
[src]
/ | | 1 / 2 \ | 1*--------------- dx = C + RootSum\4*z + 1, i -> i*log(2*i + log(x))/ | / 2 \ | x*\log (x) + 1/ | /
$$\arctan \log x$$
The answer
[src]
1 / | | 1 | --------------- dx | / 2 \ | x*\1 + log (x)/ | / 0
$${{\pi}\over{2}}$$
=
=
1 / | | 1 | --------------- dx | / 2 \ | x*\1 + log (x)/ | / 0
$$\int\limits_{0}^{1} \frac{1}{x \left(\log{\left(x \right)}^{2} + 1\right)}\, dx$$
Use the examples entering the upper and lower limits of integration.