Input
x^4 – 256
Alternate form
(x – 4) (x + 4) (x^2 + 16)
Polynomial discriminant
Delta = -4294967296
Derivative
d/dx(x^4 – 256) = 4 x^3
Indefinite integral
integral (-256 + x^4) dx = x^5/5 – 256 x + constant
Global minimum
min{x^4 – 256} = -256 at x = 0
Definite integral
integral_(-4)^4 (-256 + x^4) dx = -8192/5 = -1638.4
Definite integral area below the axis between the smallest and largest real roots
integral_(-4)^4 (-256 + x^4) theta(256 – x^4) dx = -8192/5 = -1638.4