I'm struggling to find a suitable substitution.

If I know one then I should be able to work it out from there.

Thanks for any help.

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- May 26th 2010, 08:57 AMfeyomiIntegrate 1/(xln²x) with respect to x by change of variable.
I'm struggling to find a suitable substitution.

If I know one then I should be able to work it out from there.

Thanks for any help. - May 26th 2010, 08:59 AMGeneral
**put $\displaystyle u=ln(x) \implies du=\frac{dx}{x}$**

**So the integral will be : $\displaystyle \int \frac{du}{u^2}=\frac{-1}{u}+C=\frac{-1}{ln(x)} + C$**