Question:medium

\( \int \frac{\cos x}{\sin^2 x (\sin x + \cos x)} \, dx \) is equal to

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In trig integrals, try substitution $\tan x$ or split expression smartly.
Updated On: Apr 23, 2026
  • $\log\left|\frac{1+\tan x}{\tan x}\right| - \cot x + C$
  • $\log\left|\frac{\tan x}{1+\tan x}\right| + C$
  • $\log\left|\frac{\tan x}{1+\tan x}\right| - \tan x + C$
  • $\log\left|\frac{\tan x}{1+\tan x}\right| + \cot x + C$
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The Correct Option is A

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