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JEE Advanced 2025Mathematics Calculus

hard
mcq
2025

Question

The value of the integral $\displaystyle\int_0^{\pi} x \cdot \sin^2(x) \cdot \cos(x) \, dx$ is:

Options

  1. A

    $0$

  2. B

    $\frac{\pi}{4}$

  3. C

    $-\frac{2}{9}$

  4. D

    $\frac{2\pi}{3}$

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