A_1

A_2

A_3

f(x) = -\frac{1}{50}x^4 + \frac{7}{50}x^3+\frac{3}{25}x^2-\frac{36}{25}x

f(x) = (((((-(1 / 50)) * (x + 3)) * x) * (x - 4)) * (x - 6))
a = Integral(f, -3, 0)
b = Integral(f, 0, 4)
c = Integral(f, 4, 6)