$\smallint \,\,\frac{{x + \sin \,\,x}}{{1 + \cos \,\,x}}\,\,dx$ is equal to

$\log \,\,\left( {1 + \cos \,\,x} \right) + C$

$\log \,\,\left( {x + \sin \,\,x} \right) + C$

JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1

\int \,\,\frac{{x + \sin \,\,x}}{{1 + \cos \,\,x}}\,\,dx

is equal to

View answer and explanation

Correct option: A

x\,\,\tan \,\,\frac{x}{2} + C

Option A is correct because the integral simplifies to

x\,\,\tan \,\,\frac{x}{2} + C

after applying integration by parts.

Practice All Chapter MCQs →

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\int {e}^{{x}^2}\left(2-\frac{1}{{x}^2}\right) {de}={e}^{{x}^2} {f}({x})+{C}

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{C}

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