What is the Solution for Canceling Out Terms in QM Calculation?

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Homework Statement



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Homework Equations


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3. The Attempt at a Solution
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I almost get the answer as long as I can cancel out the first 2 terms.
But they are different, what can I do now?
 

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now you do the integral
 
the first term will cancel after 2 applications of integration by parts. the second term will need some adjustment with Schrödinger equation and cancel out. at the end you end up with a term thatll look like the potential energy only from the Schrödinger equation.
 
i believe you can find the direct calculation on introduction to QM by griffiths, not certain though