KcetIndefinite IntegrationKCET 2023MCQ+1 / -02023\(\int \frac{1}{1+3 \sin ^2 x+8 \cos ^2 x} d x\) is equals toA\(\tan ^{-1}\left(\frac{2 \tan x}{3}\right)+C\)B\(\frac{1}{6} \tan ^{-1}\left(\frac{2 \tan x}{3}\right)+C\)C\(6 \tan ^{-1}\left(\frac{2 \tan x}{3}\right)+C\)D\(\frac{1}{6} \tan ^{-1}(2 \tan x)+C\)Check AnswerClear SelectionReveal AnswerShow Explanation