Question
Asked Nov 23, 2019
10 views

Can i get help with this problem step by step?

-x^ -3x, - 8<xs 3
Find the total area of the region between the x-axis and the graph of y
The total area of the region between the x-axis and the graph of y
- x -3x, -8sxs3 is
(Type an integer or a simplified fraction.)
help_outline

Image Transcriptionclose

-x^ -3x, - 8<xs 3 Find the total area of the region between the x-axis and the graph of y The total area of the region between the x-axis and the graph of y - x -3x, -8sxs3 is (Type an integer or a simplified fraction.)

fullscreen
check_circle

Expert Answer

Step 1

Given:

у3-х* - 3х..(), -8<x<3
help_outline

Image Transcriptionclose

у3-х* - 3х..(), -8<x<3

fullscreen
Step 2

Calculation:

The formula to find the area of the region between a curve f(x)and the x-axis on an interval
[a,b]is,
Here, f(x)x2 -3x, a -8 andb
3
help_outline

Image Transcriptionclose

The formula to find the area of the region between a curve f(x)and the x-axis on an interval [a,b]is, Here, f(x)x2 -3x, a -8 andb 3

fullscreen
Step 3
To find the boundary points, we have to put y 0 in equation (1), we get
-x2 -3x 0
x23x 0
x(r+3) 0
-3
x 0 and x-
So the boundary points are [-8,-3], [-3,0] and [0,3]
help_outline

Image Transcriptionclose

To find the boundary points, we have to put y 0 in equation (1), we get -x2 -3x 0 x23x 0 x(r+3) 0 -3 x 0 and x- So the boundary points are [-8,-3], [-3,0] and [0,3]

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Math

Calculus

Other