First slide

Evaluation of definite integrals

Question

$\int_{0}^{π / 2} \frac{3 Sec x + 5 \cos e c x}{Sec x + \cos e c x} d x =$

Easy

A

$π$
B

$4 π$
C

$6 π$
D

$2 π$

Solution

$\int_{0}^{\frac{π}{2}} \frac{3 S e c x + 5 C o s e c x}{S e c x + C o \sec x} d x = (a + b) \frac{π}{4}$
$= (3 + 5) \frac{π}{4} = 2 π$

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