Can the function = x2 (L - 2x) be used as a trial wave function for the

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Can the function Ψ = x2 (L - 2x) be used as a trial wave function for the n = 1 state of a particle with mass m in a one-dimensional box of length L? If the answer is yes, then express the energy of this trial wave function in terms of h, m, and L and compare it with the exact result (eqn 9.4). If the answer is no, explain why this is not a suitable trial wave function.
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