Evaluate : 1 1+3 ^2x+8 ^2x dx. - Vidyadip

MCQ

Evaluate : $\int\frac{1}{1+3\sin^2\text{x}+8\cos^2\text{x}}\text{dx}.$

A
$\frac{1}{6}\tan^{-1}(2\tan\text{x})+\text{c}$
B
$\tan^{-1}(2\tan\text{x})+\text{c}$
✓
$\frac{1}{6}\tan^{-1}(\frac{2\tan\text{x}}{3})+\text{c}$
D
None of these

✓

Answer

Correct option: C.

$\frac{1}{6}\tan^{-1}(\frac{2\tan\text{x}}{3})+\text{c}$

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