Input
x^2 – 100
Geometric figure
parabola
Alternate form
(x – 10) (x + 10)
Polynomial discriminant
Delta = 400
Derivative
d/dx(x^2 – 100) = 2 x
Indefinite integral
integral (-100 + x^2) dx = x^3/3 – 100 x + constant
Global minimum
min{x^2 – 100} = -100 at x = 0
Definite integral
integral_(-10)^10 (-100 + x^2) dx = -4000/3~~-1333.33
Definite integral area below the axis between the smallest and largest real roots
integral_(-10)^10 (-100 + x^2) theta(100 – x^2) dx = -4000/3~~-1333.33