Contour Integration with Sympy Vector: Discrepancy in Result

Question

I'm attempting a contour integration using sympy's vector module, but the result differs significantly from my expectations.

from sympy.vector import CoordSys3D, ParametricRegion, ParametricIntegral
from sympy import symbols, pi, integrate, cos, sin
from sympy.geometry import Point, Curve, Ellipse, Segment, Polygon
from sympy.abc import t
C = CoordSys3D('C')
P = C.create_new('P', transformation='cylindrical')

def circle_integral(V, radius):
    curve = ParametricRegion((radius, t, 0),(t, 0, 2*pi))
    result = ParametricIntegral(V, curve)
    return result

H = symbols('H') #constant
V = H * P.j # vector with only rotation element phi
radius = symbols('Rin')
result = circle_integral(V, radius)
print(result)

The result is 2*pi*H, whereas the expected result should be 2*pi*H*R. I'm unsure how to define the curve so that the integral uses the correct Jacobian for cylindrical coordinates.

I know that for cylindrical coordinates, the path element is represented as:

and