This equation computes the x and y components of the radius of gyration for an nth degree parabola, concave up, where the equation for the parabola is y = (hbn)xn
The radius of gyration (r) is the distance from the reference axis at which all of the area can be considered to be concentrated to produce the moment of inertia.
This equation, Radius of Gyration - nth Degree Parabola (concave), references 2 pages