Mathematics · 2026
JEE Main · 6 April 2026, Shift 1 · Q18
The value of the integral ∫_-(π)/4^((π)/4)((32 cos^4 x)/(1+e^sin x)) d x is:
The value of the integral $\displaystyle \int_{-\frac{\pi}{4}}^{\frac{\pi}{4}}\left(\frac{32 \cos ^4 x}{1+e^{\sin x}}\right) d x$ is:
Official answer
From NTA’s final answer key for this paper.
(2)
$\displaystyle 3 \pi+8$
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JEE Main 2026 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.