indefinite-integration

Question: $\int_{{}}^{{}}{\frac{1}{\sqrt{1+\sin x}}dx}=$

1) $2\sqrt{2}\log \tan \left( \frac{\pi }{8}+\frac{x}{4} \right)+c$

2) $\frac{1}{\sqrt{2}}\log \tan \left( \frac{\pi }{8}+\frac{x}{4} \right)+c$

3) $\sqrt{2}\log \tan \left( \frac{\pi }{8}+\frac{x}{4} \right)+c$

4) $\frac{1}{2\sqrt{2}}\log \tan \left( \frac{\pi }{8}+\frac{x}{4} \right)+c$

Solution:

Explanation: No Explanation

Fundamental integration

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