Input
x^2 – 36
Geometric figure
parabola
Alternate form
(x – 6) (x + 6)
Polynomial discriminant
Delta = 144
Derivative
d/dx(x^2 – 36) = 2 x
Indefinite integral
integral (-36 + x^2) dx = x^3/3 – 36 x + constant
Global minimum
min{x^2 – 36} = -36 at x = 0
Definite integral
integral_(-6)^6 (-36 + x^2) dx = -288
Definite integral area below the axis between the smallest and largest real roots
integral_(-6)^6 (-36 + x^2) theta(36 – x^2) dx = -288