Mathematics · 2025
JEE Main · 7 April 2025, Shift 1 · Q18
The integral ∫_0^π ((x+3) sin x)/(1+3 cos^2 x) d x is equal to
The integral $\displaystyle \int_0^\pi \frac{(x+3) \sin x}{1+3 \cos ^2 x} d x$ is equal to
Official answer
From NTA’s final answer key for this paper.
(4)
$\displaystyle \frac{\pi}{3 \sqrt{3}}(\pi+6)$
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JEE Main 2025 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.