Monday, 16 June 2014

integration - Regarding x2a2 inside the argument of dirac delta

My undergraduate system textbook has this property in the appendix
δ(x2a2)=12|a|[δ(xa)+δ(x+a)]


and I can't seem to derive the result



I tried the following:




f(x)δ(x2a2)dx



let u2=x2a2 and x=u2a2 however I couldn't resolve the new limit of integral as u must be strictly positive under this substitution. What is another way I can approach this?

No comments:

Post a Comment

real analysis - How to find limhrightarrow0fracsin(ha)h

How to find limh0sin(ha)h without lhopital rule? I know when I use lhopital I easy get $$ \lim_{h\rightarrow 0}...