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Definite Integration question

2023 · 15 Apr · Shift 1 · Q25

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PYQ Library
JEE Main
Mathematics
Definite Integration
2023 · 15 Apr · Shift 1 · Q25

Definite Integration question

2023 · 15 Apr · Shift 1 · Q25

JEE MainMathematicsDefinite IntegrationMCQ+4 / −1

If

\int\limits_{0}^{1} \frac{1}{\left(5+2 x-2 x^{2}\right)\left(1+e^{(2-4 x)}\right)} d x=\frac{1}{\alpha} \log _{e}\left(\frac{\alpha+1}{\beta}\right), \alpha, \beta\gt 0

, then

\alpha^{4}-\beta^{4}

is equal to :

A
-21
B
21
C
19
D
0

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