Find the Stark splitting between n=3 states with magnetic number m=+1 in a constant electric field (pointing along the z-axis) using first-order degenerate perturbation theory. You should write the radial integral ∫₀ᴵⁿᶠᶦⁿⁱᵗʸ drFᵤ(r) in terms of the hydrogen radial wave functions, but you do not need to evaluate it explicitly - even though it can be computed analytically with elementary integrals.