First slide

Evaluation of definite integrals

Question

_{$\int_{0}^{π / 2} \frac{1}{Sin x + Cos x} d x =$}

Easy

A

_{$\sqrt{2} l n (\sqrt{2} + 1)$}
B

_{$\frac{1}{\sqrt{2}} l n (\sqrt{2} + 1)$}
C

1
D

_{$l n (\sqrt{2} + 1)$}

Solution

_{$I = \int_{0}^{π / 2} \frac{1}{S i n x + C o s x} d x$}
_{$= \int_{0}^{π / 2} \frac{1 (\frac{2 d t}{1 + t^{2}})}{\frac{2 t}{1 + t^{2}} + \frac{1 - t^{2}}{1 + t^{2}}}$}

_{$= \sqrt{2} \log (\sqrt{2} + 1)$}

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