JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

\int {\frac{{\sin \theta + \cos \theta }}{{\sqrt {\left( {\sin 2\theta } \right)} }}d\theta }

is equal to

View answer and explanation

Correct option: B

{\sin ^{ - 1}}\theta \left( {\sin \theta - \cos \theta } \right)

Option C (

{\sin ^{ - 1}}\left( {\cos \theta - \sin \theta } \right)

) is incorrect. Option B (

{\sin ^{ - 1}}\left( {\sin \theta - \cos \theta } \right)

) is correct because after substituting

t = \sin \theta - \cos \theta

, the integral simplifies to arcsin(t).

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