Mathematics · 2023
JEE Main · 6 April 2023, Shift 2 · Q11
Let f(x) be a function satisfying f(x)+f(π-x)=π^2, ∀ x ∈ R. Then ∫_0^π f(x) sin x d x is equal to
Let $\displaystyle f(x)$ be a function satisfying $\displaystyle f(x)+f(\pi-x)=\pi^2, \forall x \in \mathbb{R}$. Then $\displaystyle \int_0^\pi f(x) \sin x d x$ is equal to
Official answer
From NTA’s final answer key for this paper.
(4)
$\displaystyle \pi^2$
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JEE Main 2023 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.