Mathematics · 2023
JEE Main · 31 January 2023, Shift 1 · Q69
The value of ∫_((π)/3)^((π)/2) ((2+3 sin x))/(sin x(1+ cos x)) d x is equal to
The value of $\displaystyle \int_{\frac{\pi}{3}}^{\frac{\pi}{2}} \frac{(2+3 \sin x)}{\sin x(1+\cos x)} d x$ is equal to
Official answer
From NTA’s final answer key for this paper.
(1)
$\displaystyle \frac{10}{3}-\sqrt{3}+\log _e \sqrt{3}$
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JEE Main 2023 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.