First slide

Introduction to integration

Question

If $\int \frac{d x}{\sin x \cos x} = \log | f (x) | + C$ then

Easy

A

$f (x) = \sin x + \cos x$
B

$f (x) = \tan x$
C

$f (x) = \sec^{2} x$
D

none of these

Solution

$\begin{aligned} \int \frac{d x}{\sin x \cos x} = \int \frac{\sin^{2} x + \cos^{2} x}{\sin x \cos x} d x \\ = \int (\tan x + \cot x) d x \\ = - \log | \cos x | + \log | \sin x | + C \\ = \log | \tan x | + C . Thus f (x) = \tan x . \end{aligned}$

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