CUET Preparation Today
CUET
-- Mathematics - Section B1
Definite Integration
Evaluate $\int\limits_{-\pi/2}^{\pi/2} x^2 \sin x \, dx$
$\frac{\pi^2}{4} - 2$
$\pi$
$0$
$1$
The correct answer is Option (3) → $0$
$∵f(x)$ is an odd function.
$∴\int\limits_{-\pi/2}^{\pi/2} x^2 \sin x \, dx = 0$
