Mathematics · 2020
JEE Main · 4 September 2020, Shift 1 · Q61
The integral ∫(x/(x sin x+ cos x))^2 d x is equal to (where C is a constant of integration):
The integral $\displaystyle \int\left(\frac{x}{x \sin x+\cos x}\right)^2 \mathrm{~d} x$ is equal to (where C is a constant of integration) :
Official answer
(4)
$\displaystyle \tan x-\frac{x \sec x}{x \sin x+\cos x}+C$
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JEE Main 2020 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.