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Q2  Integrate the functions \frac{( \log x )^2}{x}

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Given to integrate \frac{( \log x )^2}{x} function,

Let us assume \log |x| = t

we get, \frac{1}{x}dx= dt

\implies \int \frac{\left ( \log|x| \right )^2}{x}\ dx = \int t^2dt

= \frac{t^3}{3}+C

= \frac{(\log|x|)^3}{3}+C   

Posted by

Divya Prakash Singh

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