B^3-a^3

B^3-a^3

Input
b^3 – a^3
Real root
b = (-1)^(2/3) a
Polynomial discriminant
Delta_a = -27 b^6
Integer root
a = 0, b = 0
Property as a function
odd
Derivative
(d)/(da)(b^3 – a^3) = -3 a^2
Indefinite integral
integral (-a^3 + b^3) da = a b^3 – a^4/4 + constant
Definite integral over a disk of radius R
integral integral_(a^2 + b^2
Definite integral over a square of edge length 2 L
integral_(-L)^L integral_(-L)^L (-a^3 + b^3) db da = 0

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