indefinite-integration

Question: $\int{\frac{(\sin \theta +\cos \theta )}{\sqrt{\sin 2\theta }}}d\theta =$

1) $\log \left| \cos \theta -\sin \theta +\sqrt{\sin 2\theta } \right|$

2) $\log \left| \sin \theta -\cos \theta )+\sqrt{\sin 2\theta } \right|$

3) ${{\sin }^{-1}}(\sin \theta -\cos \theta )+c$

4) ${{\sin }^{-1}}(\sin \theta +\cos \theta )+c$

Solution:

Explanation: No Explanation

Integration by substitution

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