First slide

Evaluation of definite integrals

Question

$Evaluate \int_{- π / 2}^{π / 2} \log (\frac{a - \sin θ}{a + \sin θ}) d θ, a > 0 .$

Easy

A

0
B

2
C

3
D

4

Solution

$\begin{matrix} f (θ) = \log (\frac{a - \sin θ}{a + \sin θ}) \\ f (- θ) = \log (\frac{a + \sin θ}{a - \sin θ}) \\ = - \log (\frac{a - \sin θ}{a + \sin θ}) \\ = - f (θ) \end{matrix}$
$\sin c e t h e i n t e g r a n d i s a n o d d f u n c t i o n t h e g i v e n i n t e g r a l i s z e r o .$

Get Instant Solutions

When in doubt download our app. Now available Google Play Store- Doubts App

Recieve an sms with download link

Doubts App

OR

SCAN ME

Doubts App

Doubts App