Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • School
  • Please solve RD Sharma class 12 chapter 19 Definite Integrals exercise Fill in the blanks question 25 maths textbook solution

Please solve RD Sharma class 12 chapter 19 Definite Integrals exercise Fill in the blanks question 25 maths textbook solution

Answers (1)

Answer: 2\left ( e-1 \right )

Hint: You must know about |x| function.

Given:\int_{-1}^{1} e^{|x|} d x

Solution:  

Let    I=\int_{\mathrm{I}}^{1} e^{|x|} d x 

\therefore I=\int_{-1}^{1} e^{|x|} d x

       =\int_{-1}^{0} e^{-x} d x+\int_{0}^{1} e^{x} d x

       \begin{aligned} &=\left[\frac{e^{0}}{-1}-\frac{e^{-(-1)}}{-1}\right]+\left[\frac{e^{1}}{1}-\frac{e^{0}}{1}\right] \\\\ &=\left[-e^{0}+e^{1}\right]+\left[e^{1}-e^{0}\right] \end{aligned}

       \begin{aligned} &=(-1+e)+(e-1) \\\\ &=2(e-1) \end{aligned}

 

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

CBSE practical exams 2026 will be cancelled over non-compliance with guidelines, says board

Latest Question