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JEE MAIN 2021 S2
27-07-2021 S2
Question
If $\int_0^\pi\left(\sin ^3 x\right) e^{-\sin ^2 x} d x=\alpha-\frac{\beta}{e} \int_0^1 \sqrt{t} e^t d t$, then $\alpha+\beta$ is equal to $\_\_\_\_$ .
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Mathematics
Medium
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