Mathematics · 2023
JEE Main · 29 January 2023, Shift 1 · Q68
Let f(x)=x+a/(π^2-4) sin x+b/(π^2-4) cos x, x ∈ R be a function which satisfies f(x)=x+∫_0^π / 2 sin (x+y) f(y) d y. Then (a+b) is equal to
Let $\displaystyle f(x)=x+\frac{a}{\pi^2-4} \sin x+\frac{b}{\pi^2-4} \cos x, x \in \mathbb{R}$ be a function which satisfies $\displaystyle f(x)=x+\int_0^{\pi / 2} \sin (x+y) f(y) d y$. Then $\displaystyle (a+b)$ is equal to
Official answer
From NTA’s final answer key for this paper.
(4)
$\displaystyle -2 \pi(\pi+2)$
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JEE Main 2023 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.