MathsJEE Main 6 Apr 2026, Shift 1·Q18·MCQ·Moderate

Definite Integration · Definite integral properties

The value of the integral

\displaystyle\int_{-\frac{\pi}{4}}^{\frac{\pi}{4}}\left(\frac{32\cos^4x}{1 + e^{\sin x}}\right)dx

is:

(1) $4\pi + 2$
(2) $3\pi + 8$
(3) $3\pi + 4$
(4) $4\pi + 3$

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