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\(\int \frac{1}{2\cot x-3\tan x}dx =\)

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Convert trig integrals into \(\sin^2 x\) or \(\cos^2 x\) substitutions.

Updated On: Jun 22, 2026

\(-\frac{1}{10}\log|2-5\sin^2 x|+c\)
\(\frac{1}{10}\log|3+2\cos^2 x|+c\)
\(-\frac{1}{10}\log|2\cot x+3\tan x|+c\)
\(\frac{1}{10}\log|2\cot x-3\tan x|+c\) \bigskip

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The Correct Option is A

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