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.