Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • NCERT
  • Integrate the functions x e^x/1+ x ^2

Q17  Integrate the functions \frac{x e ^x }{( 1+ x )^2}

Answers (1)

best_answer

\frac{x e ^x }{( 1+ x )^2}
Let suppose 
I = \int \frac{e^x(x)}{(1+x)^2}dx
by rearranging the equation, we get
\Rightarrow \int e^x[\frac{1}{1+x}-\frac{1}{(1+x)^2}]dx
let
 f(x)=\frac{1}{1+x} \Rightarrow f'(x)= -\frac{1}{(1+x)^2}
It is known that \int e^x[f(x)+f'(x)]=e^x[f(x)]+C
therefore the solution of the given integral is 

I = \frac{e^x}{1+x}+C

Posted by

manish

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 10, 12 private exams 2026-27 registration begins on cbse.gov.in, check eligibility and fees
anam-khan

CBSE Date Sheet 2027 LIVE: Form filling for Class 10, 12 private students closes on Oct 23; exam dates soon
anam-khan

CBSE Board Exams 2027 LIVE: Class 12, 10 time table soon at cbse.gov.in; passing marks, OSM marking

Latest Question