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Let \(f(x)\) be a function satisfying \(f(x)+f(\pi-x)=\pi^2, \forall x \in R\). Then \(\int_0^\pi f(x) \sin x d x\) is e…

Q1

Let \(f(x)\) be a function satisfying \(f(x)+f(\pi-x)=\pi^2, \forall x \in R\). Then \(\int_0^\pi f(x) \sin x d x\) is equal to

[JEE Main 2023, 6 Apr (Shift 2)]

a

\(\frac{\pi^2}{4}\)

b

\(\frac{\pi^2}{2}\)

c

\(2 \pi^2\)

d

\(\pi^2\)

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