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 8

Need solution for RD Sharma Maths Class 12 Chapter 18 Indefiite Integrals Excercise Fill in the Blanks Question 8

Answers (1)

Answer:

\frac{e^{x}}{x+1}+c

Hint:

Simplify the function and then integrate it with the help of formula.

Solution:

\begin{aligned} &I=\int \frac{x e^{x}}{(x+1)^{2}} d x \\ &I=\int e^{x}\left[\frac{x+1-1}{(x+1)^{2}}\right] d x \\ &I=\int e^{x}\left[\frac{1}{x+1}-\frac{1}{(x+1)^{2}}\right] d x \end{aligned}

 

As we know that,  \int\left[f(x)+f^{\prime}(x)\right] e^{x} d x=f(x) e^{x}+c

 

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

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

Board Exam Time Table 2025 Live: UP Board exams from February 24; CBSE, BSEB date sheet soon
anam-khan

CBSE Date Sheet 2025 Live: Class 10, 12 board exam dates soon; syllabus, sample papers
anam-khan

Extra time in CBSE exams for students with type 1 diabetes: Kerala SHRC seeks report on plea

Latest Question