The attempt
##\int_{-\infty}^{\infty} |ψ^*(x)\, \hat x\,\psi(x)|\, dxˆ##
Using ˆxψ(x) ≡ xψ(x)
=##\int_{-\infty}^{\infty} |ψ^*(x)\,x\,\psi(x)|\, dxˆ##
=##\int_{-\infty}^{\infty} |ψ^*(x)\,\psi(x)\,x|\, dxˆ##
=##\int_{-\infty}^{\infty} |x\,ψ^2(x)|\, dxˆ##
I'm pretty sure this is not the...