Fn fn 1 fn 2
| Input |
|---|
| (f n) (f n)×1 (f n)×2 |
| Result |
| 2 f^3 n^3 |
| Values |
| f | 0 | 0 1 | 2 n^3 2 | 16 n^3 3 | 54 n^3 |
| Plots |
| f | 0 | 1 | 2 | 3 | |
| Polynomial discriminant |
| Delta = 0 |
| Property as a function |
| odd |
| Derivative |
| (d)/(dn)((f n) (f n) (f n)×2) = 6 f^3 n^2 |
| Indefinite integral |
| integral 2 f^3 n^3 dn = (f^3 n^4)/2 + constant |
| Definite integral over a square of edge length 2 L |
| integral_(-L)^L integral_(-L)^L 2 f^3 n^3 dn df = 0 |