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 |