r = 0.04999999999999999
f(x) = r x (x³ - 6 x² + 32)
A, B, C = Root(f)
D, E, F = Extremum(f)
G, H = TurningPoint(f)
a = Tangent(H, f)
b = Tangent(G, f)
I, J, K = Intersect(f, a)
L, M = Intersect(f, b)
c = OrthogonalLine(I, xAxis)
d = OrthogonalLine(M, xAxis)
e = OrthogonalLine(H, xAxis)
g(x) = f'(0) x
h(x) = f'(x(H)) (x - x(H)) + y(H)
i = Integral(g, f, 0, x(M))
j = Integral(h, f, x(I), x(H))