x ( e x)^2 dx =____ - Vidyadip

MCQ

$\int \frac{\log x}{(\log e x)^2} dx =$____

A
$x(1+\log x)+c$
✓
$\frac{x}{1+\log x}+c$
C
$\frac{1}{1+\log x}+ c$
D
$\frac{1}{1-\log x}+c$

✓

Answer

Correct option: B.

$\frac{x}{1+\log x}+c$

$\frac{x}{1+\log x}+ c$

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