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Definite Integration question

2025 · 28 Jan · Shift 1 · Q32

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PYQ Library
JEE Main
Mathematics
Definite Integration
2025 · 28 Jan · Shift 1 · Q32

Definite Integration question

2025 · 28 Jan · Shift 1 · Q32

JEE MainMathematicsDefinite IntegrationMCQ+4 / −1

If

\int_{-\frac{\pi}{2}}^{\frac{\pi}{2}} \frac{96 x^2 \cos ^2 x}{\left(1+e^x\right)} \mathrm{d} x=\pi\left(\alpha \pi^2+\beta\right), \alpha, \beta \in \mathbb{Z}

, then

(\alpha+\beta)^2

equals

A
196
B
100
C
64
D
144

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