Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • School
  • Need solution for RD Sharma Maths Class 12 Chapter 18 Indefiite Integrals Excercise Fill in the Blanks Question 19

Need solution for RD Sharma Maths Class 12 Chapter 18 Indefiite Integrals Excercise Fill in the Blanks Question 19

Answers (1)

best_answer

Answer:

\frac{1}{4}\left(\tan ^{-1} x\right)^{4}+c

Hint:

Simplify it and solve it.

Solution:

I=\int \frac{\left(\tan ^{-1} x\right)^{3}}{1+x^{2}} d x

Let  tan^{-1}x =y           …(i)

\begin{aligned} &\frac{1}{1+x^{2}} d x=d y \\ &\Rightarrow I=\int y^{3} d y \\ &I=\frac{y^{4}}{4}+c \\ &I=\frac{\left(\tan ^{-1} x\right)^{4}}{4}+c \end{aligned}          …from equi (i)

 

 

 

Posted by

infoexpert27

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 Exam Dates 2026 LIVE: CBSE Class 10th, 12th revised date sheet at cbse.gov.in; how to download, updates
anam-khan

CBSE board exam 2026 scheduled on March 3 postponed for Class 10, 12; revised date sheet out

Latest Question