JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1

The value of

\int \frac{d x}{\sqrt{(x-a)(b-x)}}

, is

View answer and explanation

Correct option: A

2 \sin ^{-1} \sqrt{\frac{x-a}{b-a}}+C

Option A (

2 \sin ^{-1} \sqrt{\frac{{x-a}}{{b-a}}}+C

) is correct because the integral evaluates to this expression after a suitable trigonometric substitution.

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