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How to use it?
- Integral of d{x}:
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Integral of e^3x
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Integral of sqrt(x^2+4)
- Integral of sinx/cos2x
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Integral of sqrt(x^2+1)/x^3
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Identical expressions
- one /(x(one +lnx*lnx))
- 1 divide by (x(1 plus lnx multiply by lnx))
- one divide by (x(one plus lnx multiply by lnx))
- 1/(x(1+lnxlnx))
- 1/x1+lnxlnx
- 1 divide by (x(1+lnx*lnx))
- 1/(x(1+lnx*lnx))dx
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Similar expressions
- 1/(x(1-lnx*lnx))
Integral of 1/(x(1+lnx*lnx)) dx
The solution
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[src]
oo / | | 1 | --------------------- dx | x*(1 + log(x)*log(x)) | / 1
$$\int\limits_{1}^{\infty} \frac{1}{x \left(\log{\left(x \right)} \log{\left(x \right)} + 1\right)}\, dx$$
Integral(1/(x*(1 + log(x)*log(x))), (x, 1, oo))
The answer (Indefinite)
[src]
/ | | 1 / 2 \ | --------------------- dx = C + RootSum\4*z + 1, i -> i*log(2*i + log(x))/ | x*(1 + log(x)*log(x)) | /
$$\int \frac{1}{x \left(\log{\left(x \right)} \log{\left(x \right)} + 1\right)}\, dx = C + \operatorname{RootSum} {\left(4 z^{2} + 1, \left( i \mapsto i \log{\left(2 i + \log{\left(x \right)} \right)} \right)\right)}$$
The graph
The answer
[src]
oo / | | 1 | --------------- dx | / 2 \ | x*\1 + log (x)/ | / 1
$$\int\limits_{1}^{\infty} \frac{1}{x \left(\log{\left(x \right)}^{2} + 1\right)}\, dx$$
=
=
oo / | | 1 | --------------- dx | / 2 \ | x*\1 + log (x)/ | / 1
$$\int\limits_{1}^{\infty} \frac{1}{x \left(\log{\left(x \right)}^{2} + 1\right)}\, dx$$
Integral(1/(x*(1 + log(x)^2)), (x, 1, oo))
Use the examples entering the upper and lower limits of integration.