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JEE MAIN 2021
27-07-21 S1
Question
Let $F:[3,5] \rightarrow R$ be a twice differentiable function on $(3,5)$ such that
$F(x)=e^{-x} \int_3^x\left(3 t^2+2 t+4 F^{\prime}(t)\right) d t$
If $F^{\prime}(4)=\frac{\alpha e^\beta-224}{\left(e^\beta-4\right)^2}, \alpha+\beta$ is equal to $\_\_\_\_$ ...
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