indefinite-integration

Question: $\int{{{e}^{x}}\left( \frac{1-\sin x}{1-\cos x} \right)\,\,dx}$ is equal to

1) $-{{e}^{x}}\tan \,\left( x/2 \right)$

2) $-{{e}^{x}}\cot \,\left( x/2 \right)$

3) $-\frac{1}{2}{{e}^{x}}\tan \,\left( \frac{x}{2} \right)$

4) $\frac{1}{2}{{e}^{x}}\cot \,\left( \frac{x}{2} \right)$

Solution:

Explanation: No Explanation

Integration by parts

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