1/2kx^2 what is k

1/2kx^2 what is k

Input
1/2 k x^2 k
Result
(k^2 x^2)/2
Geometric figure
parabola
Polynomial discriminant
Delta = 0
Derivative
(d)/(dx)(1/2 k x^2 k) = k^2 x
Indefinite integral
integral (k^2 x^2)/2 dx = (k^2 x^3)/6 + constant
Global minimum
min{1/2 k x^2 k} = 0 at k = 0
Definite integral over a disk of radius R
integral integral_(k^2 + x^2

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