A non-uniform thin spoke has a total length L. Its mass per unit length depends on the position x measured from the left end and is described by the function dm/dx = Ax where A has units kg/m². i) Determine its moment of inertia about a perpendicular axis through its left end (x = 0) using I = ∫r²dm. ii) Does its moment of inertia differ from the moment of inertia of a uniform spoke?