# Integrating the following delta dirac function should yield min(t,s), but how?

1. Apr 15, 2012

### Bablo

1. The problem statement, all variables and given/known data
I need to understand how to integrate
$$\int_{0}^{t}\int_{0}^{s} \delta(\tau-\tau')d\tau d\tau'$$
The solution is $$min(t,s)$$

2. Relevant equations
See above

3. The attempt at a solution
$$min(t,s)$$

Last edited: Apr 15, 2012
2. Apr 16, 2012

### lanedance

hey Bablo

have you tried considering each of the cases seperately (s>t,s<t)? then you can change the order of integration and integrate directly...