First slide

Evaluation of definite integrals

Question

$\int_{2}^{5} \sqrt{\frac{x - 2}{5 - x}} d x =$

Easy

A

$\frac{3 π}{4}$
B

$\frac{2 π}{5}$
C

$\frac{3 π}{2}$
D

$\frac{5 π}{2}$

Solution

$\int_{2}^{5} \sqrt{\frac{x - 2}{5 - x}} d x = \frac{π}{2} (b - a) = \frac{π}{2} (5 - 2) = \frac{3 π}{2}$

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