If $\int \frac{x+\sin x}{1+\cos x} \mathrm{~d} x=f(x) \tan \frac{x}{2}+C$

JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1

\int \frac{x+\sin x}{1+\cos x} \mathrm{~d} x=f(x) \tan \frac{x}{2}+C

View answer and explanation

Correct option: B

f(x)=x

Option B (

f(x)=x

) is correct because after integration and simplification, the given integral equals

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

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