# Dirac Delta Funcation Problem

1. Oct 19, 2007

### extreme2000

Q: Integral of Delta(x-b)dx and the lower limit is (-) infinity and upper is a
Please help me in steps tried my best to solve.Note this is not homework I was doing the book problems or my practice
Thanks

2. Oct 19, 2007

### AiRAVATA

What can you tell if $a<b$?

What about the integral in the whole line?

3. Oct 20, 2007

### extreme2000

Integral Problem

Dear User
Actually I am sorry to say that my integration is little rusty thats why just I need the first step for this question,Please if you can give it to me
Thanks

4. Oct 21, 2007

### nicksauce

Fact: $$\int_A\delta({x-b})dx=1 \textnormal{ if } b\in{A} \textnormal{ or } 0 \textnormal{ otherwise.}$$

That should be all the information you need. This fact should be fairly obvious to understand, but we can explain it in more detail if needed.