First slide

Evaluation of definite integrals

Question

The value of $\int_{- π / 2}^{π / 2} \log (\frac{2 - \sin θ}{2 + \sin θ}) d θ$ is

Easy

A

0
B

1
C

2
D

none of these

Solution

$\int_{- π / 2}^{π / 2} \log (\frac{2 - \sin θ}{2 + \sin θ}) d θ = 0$ as the integrand is an odd function.

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