JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1

\int e^{2 x} \frac{1+\sin 2 x}{1+\cos 2 x} d x=

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Correct option: C

\frac{e^{2 x} \tan x}{2}+c

Option C is correct because the integral simplifies to

\frac{1}{2} \int e^{2x} \sec^2 x dx + \int e^{2x} \tan x dx

, which integrates to

\frac{e^{2x} \tan x}{2} + c

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