# Integration Floor function

1. Feb 23, 2012

### kushan

I was going through a book
∫ x^2 d[x] from -5 to 7

Which means integration wrt to greatest integer function of x
Any idea on how to go about it

2. Feb 23, 2012

### sunjin09

d[x]=Ʃ_n δ(x-n) dx as far as I can see it ... or maybe integration by parts is less ambiguous

Last edited: Feb 23, 2012
3. Feb 23, 2012