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 R.D.Sharma Maths Class 12 Chapter 18 Indefinite Integrals Exercise Revision Exercise Question 2 Maths Textbook Solution.

Need Solution for R.D.Sharma Maths Class 12 Chapter 18 Indefinite Integrals Exercise Revision Exercise Question 2 Maths Textbook Solution.

Answers (1)

Answer:

x+\frac{x^{2}}{2}+\frac{x^{8}}{3}+\frac{x^{4}}{4}+c

Hint:

Use the formula a^{2}-b^{2}=(a-b)(a+b)

Solution:    we have

\begin{aligned} &=\int \frac{1-x^{4}}{1-x} d x \\ &=\int \frac{\left(1-x^{2}\right)\left(1+x^{2}\right)}{1-x} d x \\ &=\int \frac{(1-x)(1+x)\left(1+x^{2}\right)}{1-x} d x \\ &=\int(1+x)\left(1+x^{2}\right) d x \\ &=\int 1+x^{2}+x+x^{3} d x \\ &=x+\frac{x^{3}}{3}+\frac{x^{2}}{2}+\frac{x^{4}}{4}+c \\ &=x+\frac{x^{2}}{2}+\frac{x^{3}}{3}+\frac{x^{4}}{4}+c \end{aligned}

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