JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

\int\left(\frac{2+\sin 2 x}{1+\cos 2 x}\right) e^x d x=

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Correct option: D

e^x \tan x+c

Option D (

e^x \tan x+c

) is correct because the integral simplifies to this expression by recognizing the form of

\int e^x [f(x) + f'(x)] dx

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\int \frac{1-7 \cos ^2 x}{\sin ^7 x \cos ^2 x} d x=\frac{f(x)}{\sin ^7 x}+C

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{C}

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