Mathematics · 2022
JEE Main · 29 July 2022, Shift 1 · Q6
The integral ∫_0^((π)/2) 1/(3+2 sin x+ cos x) d x is equal to:
The integral $\displaystyle \int_0^{\frac{\pi}{2}} \frac{1}{3+2 \sin x+\cos x} \mathrm{~d} x$ is equal to :
Official answer
(2)
$\displaystyle \tan ^{-1}(2)-\frac{\pi}{4}$
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JEE Main 2022 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.