(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

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.

2. Relevant equations

Integrals!

3. 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?)?

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Area bound by functions

**Physics Forums | Science Articles, Homework Help, Discussion**