Mathematics · 2018
JEE Main · 15 April 2018, Shift 1 · Q76
The value of the integral ∫_-(π)/2^((π)/2) sin^4 x(1+ log ((2+ sin x)/(2- sin x))) d x is:
The value of the integral
$$\int_{-\frac{\pi}{2}}^{\frac{\pi}{2}} \sin ^4 x\left(1+\log \left(\frac{2+\sin x}{2-\sin x}\right)\right) \mathrm{d} x \text { is : }
$$
Official answer
(3)
$\displaystyle \frac{3}{8} \pi$
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JEE Main 2018 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.