I want to define



I want 

integrate(pwdelta(x),x,minf,0)
1/2

and

integrate(pwdelta(x),x,0,inf)
1/2

I can try making 

integrate(pwdelta(x),x) = (signum(x)+1)/2

that should work but does not partly because limit(signum(x),x,inf) cannot be computed.  Is there a work around?

FYI I want these two integrals to be true by definition (of pwdelta)!

Rich