Problem

Use a computer algebra system to find the exact a…

07:29

Question

Answered step-by-step

Problem 44 Medium Difficulty

Graph the region between the curves and use your calculator to compute the area correct to five decimal places.

$ y = \cos x $ , $ y = x + 2 \sin^4 x $

Video Answer

Solved by verified expert

Textbook Answer

Official textbook answer

Video by Kenneth Kobos

Numerade Educator

This textbook answer is only visible when subscribed! Please subscribe to view the answer

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

we want to find the area of the region and closed by these two functions. The 1st 1 is in blue. That's Y equals Coast X, and the second function is in green. Why equals X plus to sign next to the fore? So we find by using a graphing calculator that there is actually two enclosed regions the 1st 1 here and the 2nd 1 over here. So we want to find the total area. So we're going to be adding these two regions area equals area one plus area two. So we're going to determine each of these areas separately. Area one is equal to what we're going to do. An integral. So I didn't say which is area when we're going to consider the the left most region to be area one. So we're going to be integrating from X equals negative. 1.912 two X equals negative 1.224 It's going to be our top function, minus our bottom function. The top function is the green one in this region. So this is X. You okay? Here we go. X plus two sign for X minus The bottom function, which is in Blue Coast X DX. So that's area one area to will be computed similarly so for area to which is this region the right region? Um, we're going to be into getting from our left most point which is now negative 1.224 to our right most point, which is 0.608 and we're going to do our top function minus their bottom function. This time I'm the functions play the opposite rules. The top function is the blue one now, which is co sex and we subtract the bottom function which is green so minus X minus to sign for X d x. We're allowed to use a into an integral calculator for this question. So after we compete these two areas and we add them together, we get her area. We are rounding to five decimal places, which means that our area that we obtain is 1.70 for 13 as the total area enclosed by both of these regions

Get More Help with this Textbook

James Stewart

Calculus: Early Transcendentals

View More Answers From This Book

Find Another Textbook

Study Groups

Study with other students and unlock Numerade solutions for free.

Problem

Use a computer algebra system to find the exact a…

This textbook answer is only visible when subscribed! Please subscribe to view the answer

Related Courses

Calculus: Early Transcendentals

Related Topics

Discussion

Top Calculus 2 / BC Educators

Grace He

Catherine Ross

Kayleah Tsai

Joseph Lentino

Calculus 2 / BC Courses

Recommended Videos

Watch More Solved Questions in Chapter 6

Video Transcript

James Stewart

Calculus: Early Transcendentals

Grace He

Catherine Ross

Kayleah Tsai

Joseph Lentino

This textbook answer is only visible when subscribed! Please subscribe to view the answer

Calculus: Early Transcendentals

Grace He

Catherine Ross

Kayleah Tsai

Joseph Lentino

James StewartCalculus: Early Transcendentals

Grace He

Catherine Ross

Kayleah Tsai

Joseph Lentino

James Stewart

Calculus: Early Transcendentals