💬 👋 We’re always here. Join our Discord to connect with other students 24/7, any time, night or day.Join Here!

Like

Report

Get the answer to your homework problem.

Try Numerade Free for 7 Days

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

$ y = \frac{2}{1 + x^4} $ , $ y = x^2 $

2.80123

Calculus 2 / BC

Chapter 6

Applications of Integration

Section 1

Areas Between Curves

Missouri State University

Baylor University

University of Michigan - Ann Arbor

University of Nottingham

Lectures

01:11

In mathematics, integratio…

06:55

In grammar, determiners ar…

01:24

Graph the region between t…

01:35

02:42

01:59

Sketch the region bounded …

04:21

Use an appropriate change …

03:18

Sketch the region enclosed…

01:02

02:00

Use a graphing utility, wh…

02:16

01:42

we want to find the area of the region enclosed by these two functions. The 1st 1 in blue is Y equals two over one plus X to the fore. And the 2nd 1 in green is y equals X squared. Using a graphing calculator, we get the following graph and we see that we want to determine the area of this region here. We also find that the points of intersection okay, X equals minus one and X equals one s o. What we want to do is integrate from minus 1 to 1. So area equals into go from minus one toe, one of our top function minus or bottom function. Here, the top function is the blue one, and the bottom function is the green one. And, um, this this first part is a little complicated to solve. Of course, we we could do the integral of X squared. Uh, but we're allowed to use our calculator for this Integral. So plugging this into a calculator gives us the approximate area, which is 2.8 012 three. Uh recalled that the question only asks for five decimal places

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…

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

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

Use an appropriate change of variables to find the area of the region in the…

Sketch the region enclosed by the curves and find its area.$$y=x^{2}…

Sketch the region enclosed by the given curves and find its area.$y=x^{2…

Use a graphing utility, where helpful, to find the area of the region enclos…