First slide

Introduction to integration

Question

$The primitive of the function x | \cos x | when \frac{π}{2} < x < π is given by$

Moderate

A

$\cos x + x \sin x$
B

$- \cos x - x \sin x$
C

$x \sin x - \cos x$
D

$None of these$

Solution

$f (x) = x | \cos x |, \frac{π}{2} < x < π = - x \cos x$ $in (\frac{π}{2}, π)$
$∴ The required primitive function = \int - xcos xdx$
Now, use integration by Parts.

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