What is the Intersection of Two Curves?

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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.
 
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Hi Jasty! :smile:

Are you trying to find the area?

If so, divide it into slices of thickness dx, find the area of each slice, and integrate. :smile:
 
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.
 
Thanks a lot. Finally, i found out how to deal with this one.
 
There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...

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