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Definite Integration question

2023 · 6 Apr · Shift 2 · Q31

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PYQ Library
JEE Main
Mathematics
Definite Integration
2023 · 6 Apr · Shift 2 · Q31

Definite Integration question

2023 · 6 Apr · Shift 2 · Q31

JEE MainMathematicsDefinite IntegrationMCQ+4 / −1

Let

f(x)

be a function satisfying

f(x)+f(\pi-x)=\pi^{2}, \forall x \in \mathbb{R}

. Then

\int_{0}^{\pi} f(x) \sin x d x

is equal to :

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

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