If $b>a$, and $I=\int_a^b \sqrt{\frac{x-a}{b-x}} d x$, then I equals

JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

b>a

, and

I=\int_a^b \sqrt{\frac{x-a}{b-x}} d x

, then I equals

View answer and explanation

Correct option: A

\frac{\pi}{2}(b-a)

Option A (

\frac{\pi}{2}(b-a)

) is correct because the integral evaluates to this value after a suitable substitution and trigonometric simplification.

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