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Parametric arclength
integral of sqrt[(dy/dt)^2+(dx/dt)^2]
Polar arclength
integral of sqrt[(r)^2+(dr/dtheta)^2]
Cartesian to Polar
r^2 = x^2 + y^2
tan(θ) = y/x
Polar to cartesian
x = rcosθ
y = rsinθ