Problem

Sketch the region enclosed by the given curves an…

10:45

Problem 29 Easy Difficulty

The graphs of two functions are shown with the areas of the regions between the curves indicated.
(a) What is the total area between the curves for $ 0 \le x \le 5 $?
(b) What is the value of $ \displaystyle \int_{0}^5 [f(x) - g(x)] dx $?

Answer

A) $39 .$ B) 15

Related Courses

Calculus 2 / BC

Calculus: Early Transcendentals

Chapter 6

Applications of Integration

Section 1

Areas Between Curves

Discussion

You must be signed in to discuss.

Top Calculus 2 / BC Educators

Watch More Solved Questions in Chapter 6

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

Video Transcript

the functions F N g r as shown. We want to determine what is the total area between the curves for his exit between zero and five. So we know that this first region has an area of 12 and the second region has an area of 27. So the total area total area is equal to 12 plus 27 which is equal to 39. Next, we want to determine the value of the integral of F minus g. So we see that in the first region F is below Gee So that means that this actually will be considered as a negative in the integral. And this area over here will be considered positive since F is greater than G. So the value of this integral is equal to here. We have a negative 12 plus a 27 which is equal to 15

Kenneth K.

University of Toronto

Related Courses

Calculus 2 / BC

Calculus: Early Transcendentals

Chapter 6

Applications of Integration

Section 1

Areas Between Curves

Problem

Sketch the region enclosed by the given curves an…

Problem 29 Easy Difficulty

The graphs of two functions are shown with the areas of the regions between the curves indicated.
(a) What is the total area between the curves for $ 0 \le x \le 5 $?
(b) What is the value of $ \displaystyle \int_{0}^5 [f(x) - g(x)] dx $?

Answer

A) $39 .$ B) 15

Related Courses

Calculus: Early Transcendentals

Related Topics

Discussion

Top Calculus 2 / BC Educators

Anna Marie V.

Heather Z.

Kayleah T.

Caleb E.

Calculus 2 / BC Bootcamp

Integration Review - Intro

Definite vs Indefinite

Recommended Videos

Watch More Solved Questions in Chapter 6

Video Transcript

Calculus: Early Transcendentals

Anna Marie V.

Heather Z.

Kayleah T.

Caleb E.

Integration Review - Intro

Definite vs Indefinite