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## Homework Statement

I am given the following two functions: y=x

^{3}-13x

^{2}+40x and y=-x

^{3}+13x

^{2}-40x

I need to find the area bound between the above two functions.

## Homework Equations

Integrals!

## The Attempt at a Solution

I don't know how to do this as there is 3 points of intersection at x= 0,5,8. I know that I have to do the sum of two integrals, but I don't know what functions are supposed to go under each integral. One of the integrals will obviously have an upper limit of 5 and lower limit of 0 and the other one has upper limit of 8 and lower limit of 5 but as for the functions that go with these integrals, I have no idea. In addition, can someone explain to me how I can tell which functions will be the one on "top" (ie, for areas and volumes, you subtract the "lower" function from the "upper" function but how can I tell which one is bigger?)?