Integration about a singular point of a real function
- From: glenn077@xxxxxxxxx
- Date: 19 Nov 2007 07:56:20 -0500
For f(x)=1/Abs(x)^a, the integral from -1 to 1 diverges for a>=1 and
converges for a<1. Observe that for a<1 the derivative become infinite
at 0. Is this observation part of some more general theorem? E.g. if
at a single point f becomes infinite and its derivative is also
infinite, then its integral around the singularity is finite under
some conditions?
.
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