d x 4 ^ 2 x+4 x x+5 ^ 2 x is equal to
Mathematics · JEE Main · NTA Exams — Integral Calculus
\(\int \frac{d x}{4 \sin ^{2} x+4 \sin x \cos x+5 \cos ^{2} x}\) is equal to
- \(\tan ^{-1}\left(\tan x+\frac{1}{2}\right)+c\)
- \(\frac{1}{4} \tan ^{-1}\left(\tan x+\frac{1}{2}\right)+c\)
- \(4 \tan ^{-1}\left(\tan x+\frac{1}{2}\right)+c\)
- none of these
Answer
(B) 1 4 ^ -1 ( x+ 1 2 )+c
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