Question:
$\frac{(\log x)^{2}}{x}$
Solution:
Let $\log |x|=t$
$\therefore \frac{1}{x} d x=d t$
$\Rightarrow \int \frac{(\log |x|)^{2}}{x} d x=\int t^{2} d t$
$=\frac{t^{3}}{3}+\mathrm{C}$
$=\frac{(\log |x|)^{3}}{3}+\mathrm{C}$
Click here to get exam-ready with eSaral
For making your preparation journey smoother of JEE, NEET and Class 8 to 10, grab our app now.