haan !!!! i can

\int \frac{\sqrt{x^2 + 1}\left\{log( x^2 + 1 ) - 2log x \right\}.dx}{x^ 4}

2 Answers

answer is

\frac{-1}{3} \left(1 + \frac{1}{x^2} \right)^ \frac{3}{2}.\left\{log \left(1 + \frac{1}{x^2} \right)- \frac{2}{3} \right\}

NCERT Misc ex?
Take the x portion inside the root, leaving x³ portion outside. Then you will get √(1+1/x²) . log(1+1/x²) . 1/x³ [Use log property]

Then you take 1+1/x² = t and proceed.

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