# Homework Help: A question on integrals

1. Feb 2, 2009

### ManyNames

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

So, this is really a question. Suppose you have:

$$a(t)=\int_{\Omega} |\psi|^2$$

and then you have,

$$\frac{\partial t}{\int_{t_0}^{t_1} dt a(t)}$$

Surely this can't be right, because that would imply by substitution

$$\frac{\partial t}{\int_{t_0}^{t_1} dt \int_{\Omega} |\psi|^2}$$

Is that really allowed?

2. Feb 3, 2009

### ManyNames

Can no one answer this for me?

3. Feb 3, 2009

### chrisk

What is the differential of the integral in the first equation?