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Consider a particle in an infinite square well of width L. Initially, (at t=0) the system is

described by a wavefunction that is equal parts a superposition of the ground and first

excited states:

Ψ(x, 0)=C[Ψ1(x)+Ψ2(x)]

a) Find C so that the wavefunction is normalized

b) Find the wave function at any later time t.

c)show that the expectation value of the energy in this state is (E1+E2)/2, where E1 AND E2 ARE THE ENERGIES OF THE FIRST TWO STATIONARY STATES.

I DID a) and b) , i don't how to do c) , could you help me