For testing h0 1 2 versus h1 1 2 find the forms of the lr

Question

Let X_i1, ..., X_ini , i = 1, 2, be independently distributed as the beta distributions with p.d.f.'s θ_ix_θi-1I_(0,1)(x), i = 1, 2, respectively. For testing H₀; θ₁ = θ₂ versus H₁; θ₁ ≠ θ₂, find the forms of the LR test, Wald's test, and Rao's score test.