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Geometric figure

line

3D plot

Contour plot

Roots

C = 0

v = 0

Polynomial discriminant

Δ = 0

Property as a function

odd

Derivative

d/dv(C^3 v) = C^3

Indefinite integral

integral C^3 v dv = (C^3 v^2)/2 + constant

Definite integral over a square of edge length 2 L

integral_(-L)^L integral_(-L)^L C^3 v dv dC = 0

Definite integral over a disk of radius R

integral integral_(C^2 + v^2<R^2) C^3 v dC dv = 0