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Question Id : 13226 | Context : JEE Main 2023 (29 January Morning Shift)
Let $f(x)=x+\dfrac{a}{\pi^{2}-4}\sin x+\dfrac{b}{\pi^{2}-4}\cos x,\ x\in\mathbb{R}$ be a function which satisfies $\displaystyle f(x)=x+\int_{0}^{\pi/2}\sin(x+y)\,f(y)\,dy.$ Then $(a+b)$ is equal to:


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