Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • School
  • explain solution rd sharma class 12 chapter Indefinite integrals exercise 18.4 question 5 maths

explain solution rd sharma class 12 chapter Indefinite integrals exercise 18.4 question 5 maths

Answers (1)

Answer:

x+\log \left | x+1 \right |+\frac{3}{x+1}+C

Hint:

Use integration by partial fraction.

Given:

\int \frac{x^{2}+3x-1}{\left ( x+1 \right )^{2}}dx

Solution:

\int \frac{x^{2}+3x-1}{\left ( x+1 \right )^{2}}dx

I=\int 1\cdot dx+\int \frac{x-2}{(x+1)^{2}}dx

Put   x+1=t\Rightarrow dx=dt

I=x+\int \frac{t-3}{t^{2}}dt\\ \\ \Rightarrow\hspace{1cm}I=x+\int \frac{1}{t}dt-3\int \frac{1}{t^{2}}dt\\ \\ \Rightarrow\hspace{1cm}I=x+\log\left | t \right |+\frac{3}{t}+c\\ \\ \Rightarrow\hspace{1cm}I=x+\log \left | x+1 \right |+\frac{3}{x+1}+c

 

 

Posted by

infoexpert26

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

PM Modi's Pariksha Pe Charcha 2025 to be held next month, registrations open till January 14
anam-khan

CBSE Board Exams 2025: Online portal for availing exemptions by CWSN students opens
anam-khan

Board Exams: States agree to equivalence; no question paper ‘jumbling’ from next year, says PARAKH CEO

Latest Question