Evaluate the integral : ,(6 x^2 ) x ,dx - Vidyadip

MCQ

Evaluate the integral :$\int {\frac{{\ln \,(6{x^2})}}{x}\,dx} $

A
$\frac{1}{8}{[\ln (6{x^2})]^3}+ C$
✓
$\frac{1}{4}[{\ln ^2}(6{x^2})]+ C$
C
$\frac{1}{2}[\ln (6{x^2})]+ C$
D
$\frac{1}{{16}}{[\ln (6{x^2})]^4}+ C$

✓

Answer

Correct option: B.

$\frac{1}{4}[{\ln ^2}(6{x^2})]+ C$

b
$ln(6x^2) = t$

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