Mathematics Integral Calculus Indefinite Integrals

\(\rm \displaystyle\int\frac{e^x(1+\sin x)}{(1+\cos x)}dx \) is equal to: 

1
ex· log(1 + cos x) + C.
2
ex · tan\(\left(\rm \frac{x}{2} \right)\)+ C
3
ex · cot x + C
4
ex ·2 log\(\left(\rm \tan \frac{x}{2} \right)\)+ C

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