- #1

Kate2010

- 146

- 0

## Homework Statement

Prove that [itex]\int^{∞}_{-∞}[/itex] exp(-(z-ia)

^{2})dz = √∏ for all real a.

## Homework Equations

## The Attempt at a Solution

If I use the substitution x = z-ia then dz = dx and if I use the limits x = -∞ to x = ∞ I get the correct answer. However, I do not know how to justify leaving the limits the same or if it is even ok?