First slide

Evaluation of definite integrals

Question

$\int_{0}^{π} \frac{\sin θ + \cos θ}{\sqrt{1 + \sin 2 θ}} d θ =$

Easy

A

$π$
B

$π + λ$ and $λ > 0$
C

$π / 2$
D

$π / 3$

Solution

$\int_{0}^{π} \frac{\sin θ + \cos θ}{\sqrt{1 + \sin 2 θ}} d θ = \int_{0}^{π} \frac{\sin θ + \cos θ}{| \sin θ + \cos θ |} d θ$ = $π$

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