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Integrals: JEE Mains 2024 1st Feb Shift 1

Hard· Definite integrals and properties· +4 / −1

\int_{-\pi/2}^{\pi/2}\frac{8\sqrt2\cos x}{(1+e^{\sin x})(1+\sin^4x)}dx=a\pi+b\log\left(3+2\sqrt2\right)

then find

a+b

.

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About this question

Previous-year question from JEE Mains 2024 1st Feb Shift 1.
Tagged hard difficulty.

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