Missing 'x' in Expectation Value Formula

[Void123]

Homework Statement

In my textbook, the formula for the expectation value is written as:

<x> = \int \Psi^{*}\Psi dx

Shouldn't there be an x next to |\Psi|^{2} ?

Thanks.

Homework Equations

The Attempt at a Solution

 

[short circut]

yes it should read<x>=<\psi|x|\psi> = \int_{-\infty}^{\infty}\psi^*x\psi dx

make sure you write it in this form too. Otherwise when you start putting in other operators like p you will get it wrong.