Consider a particle of mass in a half 1D harmonic oscillator, which has the potential () = { [infinity], ≤ 0 1 2 22, > 0 Now we try to determine the ground state energy using variational principle. Consider the trial wavefunction: () = { 0, ≤ 0 −, > 0, is a real positive constant. Useful integrals for this part: ∫ − [infinity] 0 = !, is a positive integer (b) [5 pts] Determine the dependence of 〈〉 on without explicitly computing any integral. You result may involve arbitrary constants as long as they do not depend on . is the kinetic energy.