Find \int_0^3 \,e^x \,dx.

Category: QuestionsFind \int_0^3 \,e^x \,dx.
Editor">Editor Staff asked 11 months ago

Find \int_0^3 \,e^x \,dx
.
 
(a) e^3+1
 
(b) -e^3-1
 
(c) e^3-1
 
(d) 3e^3-2
 
I got this question in an internship interview.
 
I want to ask this question from Fundamental Theorem of Calculus-1 topic in chapter Integrals of Mathematics – Class 12
NCERT Solutions for Subject Clas 12 Math Select the correct answer from above options 
Interview Questions and Answers, Database Interview Questions and Answers for Freshers and Experience

1 Answers
Editor">Editor Staff answered 11 months ago

The correct answer is (c) e^3-1
 
Explanation: Let I=

3
0
e
x
dx
 
 
F(x)=

e
x
dx=
e
x
 
 
Applying the limits, we get
 
I=F(3)-F(0)
 
=e^3-e^0=e^3-1.