JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

1 of 1

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 it is the result of the integral after applying the trigonometric substitution

x=a \cos ^2 \theta+b \sin ^2 \theta

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