# Proving the expectation value of any eigenvalue function

## The Attempt at a Solution

When I take the second formula, multiply by it's conjugate and then by x and do the integral of the first formula, I get 0, and not L/2, for <x>. Am I missing a formula ?
The complex conjugate of the exponential part multiplied by the exponential part simplifies to 1, and when I do the integral I end up with 0.

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kuruman
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-infinity and +infinity, as in the first formula (the orange background)

kuruman
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What is the size of the "box" the particle is in?

What is the size of the "box" the particle is in?
L? so would it be from 0 to L ?

kuruman