JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

The value of the integral

\int\limits_ \alpha^\beta \frac{d x}{\sqrt{(x-\alpha)(\beta-x)}}

for

\beta>\alpha

, is

View answer and explanation

Correct option: D

\pi

Option D (

\pi

) is correct because the integral represents the area under a semicircle, which evaluates to

\pi

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