JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

The value of the integral

\int \limits_\alpha ^\beta \,\,\frac{1}{{\sqrt {\left( {x - \alpha } \right)\,\,\left( {\beta - x} \right)} }}\,\,dx

for

\beta \,\,\, > \,\,\alpha

, is

View answer and explanation

Correct option: D

\pi

Option D (

\pi

) is correct because the integral evaluates to

\pi

after completing the square and using trigonometric substitution.

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