First slide

Introduction to integration

Question

$Evaluate \int \sec^{2} x {cosec}^{2} x d x$

Easy

A

$= \tan x + \cot x + c$
B

$= - \tan x - \cot x + c$
C

$= \tan x - \cot x + c$
D

$= - \tan x + \cot x + c$

Solution

$\begin{array}{l} I = \int \sec^{2} x {cosec}^{2} x d x \\ = \int \frac{\cos^{2} x + \sin^{2} x}{\cos^{2} x \sin^{2} x} d x \\ = \int (\sec^{2} x + {cosec}^{2} x) d x \\ = \tan x - \cot x + c \end{array}$

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