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Definite Integration question

2025 · 7 Apr · Shift 1 · Q39

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JEE Main
Mathematics
Definite Integration
2025 · 7 Apr · Shift 1 · Q39

Definite Integration question

2025 · 7 Apr · Shift 1 · Q39

JEE MainMathematicsDefinite IntegrationMCQ+4 / −1

The integral

\int_0^\pi \frac{(x+3) \sin x}{1+3 \cos ^2 x} d x

is equal to

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

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