Consider a wire of density (x, y, z) given by the space curve The moments of inertia

Consider a wire of density ρ(x, y, z)  given by the space curve

The moments of inertia about the x-, y-, and z-axes are given by

Find the moments of inertia for a wire of uniform density ρ = 1 in the shape of the helix

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C: r(t) = x(t)i + y(t)j + z(t)k, a ≤t≤b.