Refer a friend and earn $50 when they subscribe to an annual planRefer Now

Stuck on your homework problem? This step-by-step video should help.

Try Numerade Free for 30 Days

Like

Report

Find the areas bounded by the indicated curves.$$y=x^{2}, y=2-x, y=1$$

$$A=\frac{37}{6}$$

Calculus 2 / BC

Chapter 26

Applications of Integration

Section 2

Areas by Integration

Harvey Mudd College

University of Michigan - Ann Arbor

Idaho State University

Boston College

Lectures

01:11

In mathematics, integratio…

06:55

In grammar, determiners ar…

02:14

Area Find the area of the …

02:08

Find the areas of the regi…

02:44

06:19

05:54

06:34

Find the area of the follo…

06:06

02:22

03:26

02:15

uh huh. We want to find the area founded by the curves, Y equals x square Y equals two minus X and Y equals one. This question is challenging understanding of how to apply integration for the purpose of areas derivation so it's not appropriate definitions for the area between two curves for vertical components it is A equals integral A to B Y tu minus one. The X for horizontal components in a equals integral C two D x two minus X 20 Y. That's if we sketch these curves out and identify the appropriate bounds and functions to integrate, we can solve sketching this out. We have the area in yellow as our founded area. We see that we're going to have to integrate on two different areas. First we're going to integrate from negative 2 to 12 minus x minus x squared to minus six Y. One. Or rather Y two X squared is Y two Y one. Then from negative 1 to 1. We integrate two minus x minus Y equals one. So this kid's area two x minus X squared over two minus X, equal to negative one plus x minus X squared over two from negative 1 to 1 or 19/6.

View More Answers From This Book

Find Another Textbook

In mathematics, integration is one of the two main operations in calculus, w…

In grammar, determiners are a class of words that are used in front of nouns…

Area Find the area of the region bounded by the curves $y=\frac{x}{x^{2}-2 x…

Find the areas of the regions enclosed by the lines and curves.$$y=x…

Find the areas of the regions enclosed by the lines and curves.$$y=x^{2}…

Find the areas of the regions enclosed by the lines and curves.$$x=y…

Find the areas of the regions enclosed by the lines and curves.$$x=y^{2}…

Find the area of the following regions.The region in the first quadrant …

92% of Numerade students report better grades.

Try Numerade Free for 30 Days. You can cancel at any time.

Annual

0.00/mo 0.00/mo

Billed annually at 0.00/yr after free trial

Monthly

0.00/mo

Billed monthly at 0.00/mo after free trial

Earn better grades with our study tools:

Textbooks

Video lessons matched directly to the problems in your textbooks.

Ask a Question

Can't find a question? Ask our 30,000+ educators for help.

Courses

Watch full-length courses, covering key principles and concepts.

AI Tutor

Receive weekly guidance from the world’s first A.I. Tutor, Ace.

30 day free trial, then pay 0.00/month

30 day free trial, then pay 0.00/year

You can cancel anytime

OR PAY WITH

Your subscription has started!

The number 2 is also the smallest & first prime number (since every other even number is divisible by two).

If you write pi (to the first two decimal places of 3.14) backwards, in big, block letters it actually reads "PIE".

Receive weekly guidance from the world's first A.I. Tutor, Ace.

Mount Everest weighs an estimated 357 trillion pounds

Snapshot a problem with the Numerade app, and we'll give you the video solution.

A cheetah can run up to 76 miles per hour, and can go from 0 to 60 miles per hour in less than three seconds.

Back in a jiffy? You'd better be fast! A "jiffy" is an actual length of time, equal to about 1/100th of a second.