Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • School
  • Explain Solution R.D Sharma Class 12 Chapter 18 Indefinite Integrals Exercise Revision Exercise Question 28 Maths Textbook Solution.

Explain Solution R.D Sharma Class 12 Chapter 18 Indefinite Integrals Exercise Revision Exercise  Question 28 Maths Textbook Solution.

Answers (1)

Answer:

\frac{1}{2} \tan ^{2} x-\log |\sec x|+c

Given:

\int \tan ^{3} x d x

Hint:

To solve this statement we have to change tan into sec form.

Solution: 

\int \tan ^{2} x \cdot \tan x d x

   \int\left(\sec ^{2} x-1\right) \tan x d x \quad\left(\tan ^{2} x=\sec ^{2} x-1\right)

\int \sec ^{2} x \tan x d x-\int \tan x d x

                                                

I_{1}=\int \sec ^{2} x \tan x d x                                                        \left[\because \tan x=t, \sec ^{2} x d x=d t, \int x^{n} d x=\frac{x^{n+1}}{n+1}\right]

I_{1}=\int t d t

       =\frac{t^{2}}{2}=\frac{1}{2} \tan ^{2} x

I=I_{1}+I_{2}

    =\frac{1}{2} \tan ^{2} x-\log |\sec x|+c

 

Posted by

infoexpert21

View full answer

Crack CUET with india's "Best Teachers"

  • HD Video Lectures
  • Unlimited Mock Tests
  • Faculty Support
cuet_ads

Similar Questions

Trending Articles/News

anam-khan

CBSE Class 12 re-evaluation portal faces technical glitch, services to resume by 2 pm
anam-khan

CBSE extends deadline to download Class 12 answer sheets till May 23; re-evaluation from May 26
anam-khan

‘Try again in sometime’: CBSE claims re-evaluation facility functioning properly; students flag login issues

Latest Question