indefinite-integration

Question: If $\int_{{}}^{{}}{\frac{{{e}^{x}}(1+\sin x)dx}{1+\cos x}={{e}^{x}}f(x)+c}$, then $f(x)=$

1) $\sin \frac{x}{2}$

2) $\cos \frac{x}{2}$

3) $\tan \frac{x}{2}$

4) $\log \frac{x}{2}$

Solution:

Explanation: No Explanation

Integration by parts

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