What is the Intersection of Two Curves?

[Jasty]

Homework Statement

y=x^2-2.x
y=x^3

Homework Equations

none

The Attempt at a Solution

I have no idea how to do this so please help me. Thank you.

 

[tiny-tim]

Hi Jasty!

Are you trying to find the area?

If so, divide it into slices of thickness dx, find the area of each slice, and integrate.

 

[HallsofIvy]

1. Draw their graphs.

2. Determine where they intersect.

3. Imagine the area divided into thin, vertical rectangles.

4. What would be the area of each of those rectangles?

5. Their total area is a Riemann sum. Convert that into an integral.

 

[Jasty]

Thanks a lot. Finally, i found out how to deal with this one.