Problem

Use the result of Exercise 27 and the fact that $…

02:09

Problem 45 Easy Difficulty

Use the result of Example 3 to evaluate $ \displaystyle \int^3_1 e^{x + 2} \, dx $.

Answer

$e^{5}-e^{3}$

More Answers

00:52

Frank L.

00:26

Amrita B.

Topics

Integrals

Integration

Book Cover for Calculus: Early Tra…

Calculus: Early Transcendentals

Chapter 5

Integrals

Section 2

The Definite Integral

Discussion

You must be signed in to discuss.

Top Calculus 1 / AB Educators

Grace H.

Catherine R.

Missouri State University

Kayleah T.

Harvey Mudd College

Michael J.

Idaho State University

Watch More Solved Questions in Chapter 5

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7

Problem 8

Problem 9

Problem 10

Problem 11

Problem 12

Problem 13

Problem 14

Problem 15

Problem 16

Problem 17

Problem 18

Problem 19

Problem 20

Problem 21

Problem 22

Problem 23

Problem 24

Problem 25

Problem 26

Problem 27

Problem 28

Problem 29

Problem 30

Problem 31

Problem 32

Problem 33

Problem 34

Problem 35

Problem 36

Problem 37

Problem 38

Problem 39

Problem 40

Problem 41

Problem 42

Problem 43

Problem 44

Problem 45

Problem 46

Problem 47

Problem 48

Problem 49

Problem 50

Problem 51

Problem 52

Problem 53

Problem 54

Problem 55

Problem 56

Problem 57

Problem 58

Problem 59

Problem 60

Problem 61

Problem 62

Problem 63

Problem 64

Problem 65

Problem 66

Problem 67

Problem 68

Problem 69

Problem 70

Problem 71

Problem 72

Problem 73

Problem 74

Problem 75

Video Transcript

Yeah, example here integrate the definite integral 1 to 3 of E to the X plus two. Given the fact that we've already worked the integral from 1 to 3 of E to the X is E cubed minus E. So we can rewrite this integral using properties of exponents. So this is the integral from 1 to 3 of E to the X E squared dx E squared is simply a constant. So this is E squared. The integral from 1 to 3 E to the X dx. That is precisely the result that you see right here. So this answer just turns into e squared E cubed minus E. Um you could factor one mori out of this and this is going to be what E cubed um E squared minus one or simply Each of the 5th minus E cubed. Mhm.

Robert D.

Florida State University

Topics

Integrals

Integration

Book Cover for Calculus: Early Tra…

Calculus: Early Transcendentals

Chapter 5

Integrals

Section 2

The Definite Integral

Top Calculus 1 / AB Educators

Grace H.

Numerade Educator

Catherine R.

Missouri State University

Kayleah T.

Harvey Mudd College

Michael J.

Idaho State University