JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

The value of

\int \frac{\sin x-\cos x}{\sqrt{\sin 2 x-1 / 2}} \mathrm{~d} x

View answer and explanation

Correct option: B

-\log |(\sin x+\cos x)+\sqrt{\sin 2 x-1 / 2}|+C

Option B (

-\log |(\sin x+\cos x)+\sqrt{{\sin 2 x-1 / 2}}|+C

) is correct because the integral can be solved by substitution, where

t = \sin x + \cos x

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