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Definite Integration question

2024 · 29 Jan · Shift 1 · Q50

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PYQ Library
JEE Main
Mathematics
Definite Integration
2024 · 29 Jan · Shift 1 · Q50

Definite Integration question

2024 · 29 Jan · Shift 1 · Q50

JEE MainMathematicsDefinite IntegrationMCQ+4 / −1

If the value of the integral

\int_{-\frac{\pi}{2}}^{\frac{\pi}{2}}\left(\frac{x^2 \cos x}{1+\pi^x}+\frac{1+\sin ^2 x}{1+e^{\sin x^{2123}}}\right) d x=\frac{\pi}{4}(\pi+a)-2

, then the value of

a

is

A
$-\frac{3}{2}$
B
3
C
$\frac{3}{2}$
D
2

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