JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1

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

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Correct option: A

2 \sin ^{-1} \sqrt{\left(\frac{x-a}{b-a}\right)}+c

Option A is correct because the integral can be solved by using a suitable trigonometric substitution.

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