Mathematics · 2017
JEE Main · 8 April 2017, Shift 1 · Q74
The integral ∫ √(1+2 cot x( cosec x+ cot x)) d x (0<x<(π)/2) is equal to: (where C is a constant of integration)
The integral
$$\int \sqrt{1+2 \cot x(\operatorname{cosec} x+\cot x)} \mathrm{d} x
$$
$\displaystyle \left(0<x<\frac{\pi}{2}\right)$ is equal to :
(where C is a constant of integration)
Official answer
(2)
$\displaystyle 2 \log \left(\sin \frac{x}{2}\right)+C$
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JEE Main 2017 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.