Stuck on an Area Between Curves Question

[Camronnba]

I have been asked to find the area between the following curves
f(x)= x^3 -9x^2 +18x and
g(x)= (-x)^3 +9x^2 -18x

I started out by finding the points of intersection, which I found to be 0, 3, and 6. I then integrated |f(x)-g(x)|and evaluated between 6 and 0. I got an answer of zero but it says I am wrong. I then tried evaluating between 0 and 3, and 3 and 6 and adding those together, again I get zero. After that I brought out my graphing calculator, and after viewing the graphs, 0 seems like a logical answer. I must be making a mistake somewhere, if someone could please steer me in the right direction it would be greatly appreciated. Thanks

 

[Camronnba]

Nevermind, I should really pay attention to absolute value signs when I see them. haha