Download the App!

Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.

Sent to:
Search glass icon
  • Login
  • Textbooks
  • Ask our Educators
  • Study Tools
    Study Groups Bootcamps Quizzes AI Tutor iOS Student App Android Student App StudyParty
  • For Educators
    Become an educator Educator app for iPad Our educators
  • For Schools

Problem

Graph the region between the curves and use your …

01:35

Question

Answered step-by-step

Problem 42 Easy Difficulty

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

$ y = e^{1 - x^2} $ , $ y = x^4 $


Video Answer

Solved by verified expert

preview
Numerade Logo

This problem has been solved!

Try Numerade free for 7 days

Kenneth Kobos
Numerade Educator

Like

Report

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

Related Topics

Applications of Integration

Discussion

You must be signed in to discuss.
Top Calculus 2 / BC Educators
Catherine Ross

Missouri State University

Anna Marie Vagnozzi

Campbell University

Heather Zimmers

Oregon State University

Samuel Hannah

University of Nottingham

Calculus 2 / BC Courses

Lectures

Join Course
Recommended Videos

01:16

Graph the region between t…

01:22

Graph the region between t…

00:56

Graph the region between t…

02:21

Graph the region between t…

01:35

Graph the region between t…

02:42

Graph the region between t…

01:59

Sketch the region bounded …

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 determine the area of the enclosed region by these two functions. The first function is in blue. It's y equals E to the one minus X squared. And the second function isn't green. Why equals X to the fore? Using a graphing calculator, we see that the enclosed region is this shape over here and we want to determine its area. So we're going to do an integral area is equal to integral. So the graphing calculator shows us our points of intersection. The left most point of intersection happens at X equals minus one, and the right point of intersection happens at X equals one. So we're going to integrate from left to right minus 1 to 1. We're going to integrate our top function minus our bottom function. The top function is in blue, so e to the one minus X squared. And our second bottom function is in green X to the fore D X computing. This integral manually is not very easy because of this exponential part here, however, we are allowed to use and integral calculator where any calculator that consult into girls So plugging this into our calculator gives us the approximate value of the area 3.6601 six as the area of the enclosed region

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.
Math (Geometry, Algebra I and II) with Nancy
Arrow icon
Participants icon
154
Hosted by: Ay?Enur Çal???R
Math (Algebra 2 & AP Calculus AB) with Yovanny
Arrow icon
Participants icon
68
Hosted by: Alonso M
See More

Related Topics

Applications of Integration

Top Calculus 2 / BC Educators
Catherine Ross

Missouri State University

Anna Marie Vagnozzi

Campbell University

Heather Zimmers

Oregon State University

Samuel Hannah

University of Nottingham

Recommended Videos

01:16

Graph the region between the curves and compute the area correct to five decima…

01:22

Graph the region between the curves and use your calculator to compute the area…

00:56

Graph the region between the curves and use your calculator to compute the area…

02:21

Graph the region between the curves and use your calculator to compute the are…

01:35

Graph the region between the curves and use your calculator to compute the area…

02:42

Graph the region between the curves and use your calculator to compute the area…

01:59

Sketch the region bounded above by the curve, the $x$ -axis, and $x=1,$ and fin…
Additional Mathematics Questions

01:46

A camel can drink 15 gallons of water in 10 minutes. At this rate, how much …

01:08


The dot plot above identifies the number of pets living with each of 20 …

01:35

find the area of a semicircle whose radius is 2.4 cm

01:23

Triangle ABC is similar to triangle DEF. Write the equation, in slope-interc…

01:09

Identify the slope and y-intercept of each linear function's equation.<…

02:36

Triangles P Q R and S T U are shown. Angles P R Q and T S U are right angles…

01:17

A restaurant sold 250 drinks in a night. Some of the drinks were sold for $2…

02:50

The picture below shows a box sliding down a ramp: A right triangle ABC has …

01:11

A 1-pound ball and a 100-pound ball are dropped from a height of 10 feet at …

00:50

An experiment consists of rolling a six sided die to select a number between…

Add To Playlist

Hmmm, doesn't seem like you have any playlists. Please add your first playlist.

Create a New Playlist

`

Share Question

Copy Link

OR

Enter Friends' Emails

Report Question

Get 24/7 study help with our app

 

Available on iOS and Android

About
  • Our Story
  • Careers
  • Our Educators
  • Numerade Blog
Browse
  • Bootcamps
  • Books
  • Notes & Exams NEW
  • Topics
  • Test Prep
  • Ask Directory
  • Online Tutors
  • Tutors Near Me
Support
  • Help
  • Privacy Policy
  • Terms of Service
Get started