Let f(x) be a function satisfying f(x) + f(π - x) = π², for all x… | JEE Main 2023 Mathematics PYQ | Jeeify

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MCQMediumJEE Main 2023 · 6 April, Shift 2Properties of Definite Integrals

Let $f(x)$ be a function satisfying $f(x) + f(\pi - x) = \pi^2$ , for all $x \in \mathbb{R}$ . Then $\int_0^{\pi} f(x)\sin x \, dx$ is equal to:

A
$\frac{\pi^2}{2}$
B
$\pi^2$
C
$2\pi^2$
D
$\frac{\pi^2}{4}$

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