Definite Integration | JEE Main 2025 Solution |Trig Integral

JEE MAIN 2025

07-04-2025 SHIFT-1

Question

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

Select the correct option:

$\frac{\pi }{{2\sqrt 3 }}(\pi + 4)$

$\frac{\pi }{{\sqrt 3 }}(\pi + 1)$

$\frac{\pi }{{\sqrt 3 }}(\pi + 2)$

$\frac{\pi }{{3\sqrt 3 }}(\pi + 6)$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Medium

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