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 19 Definite Integrals exercise Multiple choice question 20 maths

Explain solution RD Sharma class 12 chapter 19 Definite Integrals exercise Multiple choice question 20 maths

Answers (1)

Answer:

e-1

Given:

\int_{0}^{\frac{\pi}{2}} \cos x \cdot e^{\sin x} d x

Hint:

You must know about \frac{d}{d x}(\sin x) and \int e^{t} d t
 

Explanation:  

Let

I=\int_{0}^{\frac{\pi}{2}} \cos x \cdot e^{\sin x} d x

Put

\begin{aligned} &\sin x=t \\\\ &\cos x \; d x=d t \end{aligned}

 Whenx=0 then t= 0

When x=\frac{\pi }{2}  then t=1

\begin{aligned} &=\int_{0}^{1} e^{t} d x \\\\ &=\left[e^{t}\right]_{0}^{1} \\\\ &=e^{1}-e^{0} \\\\ &=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 Class 12 Chemistry Paper Analysis: Students find exam easy, well-balanced; mostly previous year questions
anam-khan

CBSE Class 12: Delhi Government school teachers ask board to put on-screen marking system on hold
anam-khan

CBSE Board Exam 2026 LIVE: CBSE Class 12 Chemistry question paper analysis; answer key

Latest Question