Question:medium
$\int\frac{\tan x+\cot x}{1+\tan^{2}x}dx$ is equal to
$\int\frac{\tan x+\cot x}{1+\tan^{2}x}dx$ is equal to
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Logic Tip: The identity $\tan x + \cot x = \frac{1}{\sin x \cos x}$ appears very frequently in integration problems. Memorizing this transformation will save you multiple algebraic steps during the exam.
Updated On: Apr 27, 2026
- $\log|\sin x|+C$
- $2\log|\sin x|+C$
- $\log|\cos x|+C$
- $\log|\tan x|+C$
- $2\log|\tan x|+C$
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The Correct Option is A
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