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Definite Integration question

2021 · 27 Jul · Shift 2 · Q39

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PYQ Library
JEE Main
Mathematics
Definite Integration
2021 · 27 Jul · Shift 2 · Q39

Definite Integration question

2021 · 27 Jul · Shift 2 · Q39

JEE MainMathematicsDefinite IntegrationNumerical+4 / −1

If

\int_0^\pi {({{\sin }^3}x){e^{ - {{\sin }^2}x}}dx = \alpha - {\beta \over e}\int_0^1 {\sqrt t {e^t}dt} }

, then

\alpha

+

\beta

is equal to

\underline{\hspace{2cm}}

.

Numerical answer

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