Fn fn 1 fn 2

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

Leave a Reply

Your email address will not be published. Required fields are marked *