Find the area between the curves:?

Question

y=x^3-13x^2+36x
and
y=-x^3+13x^2-36x

Answer 1

y1=y2
x^3-13x^2+36x=-x^3+13x^2-36x
2x^3-26x^2+72=0
2x(x^2-13x+36)=0
x1=0
x2=4
x3=9

draw the figures of y1 and y2

take integral