The integral ∫₀^π ((x + 3) sin x)/(1 + 3 cos² x) dx is equal to: | JEE Main 2025 Mathematics PYQ | Jeeify

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MCQMediumJEE Main 2025 · 7 April, Shift 1Properties of Definite Integrals

The integral $\int_0^\pi \frac{(x + 3) \sin x}{1 + 3 \cos^2 x} \, dx$ is equal to:

A
$\frac{\pi}{\sqrt{3}}(\pi + 1)$
B
$\frac{\pi}{\sqrt{3}}(\pi + 2)$
C
$\frac{\pi}{3\sqrt{3}}(\pi + 6)$
D
$\frac{\pi}{2\sqrt{3}}(\pi + 4)$

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