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#1 2009-03-15 04:22:05

GemmaJ1988
Member
Registered: 2008-10-08
Posts: 39

parameterization of circular arcs

Im trying to evaluate a complex integral whose image is the circular arc in an anticlockwise direction

for arcs considered in a clockwise direction we have

does anyone know how i could solve an integral in the anticlockwise direction

many thanks

Last edited by GemmaJ1988 (2009-03-15 04:22:25)

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#2 2009-03-15 10:02:50

Ricky
Moderator
Registered: 2005-12-04
Posts: 3,791

Re: parameterization of circular arcs

Make t negative.  You may have to re-parametrize t if your arc is not a full circle.


"In the real world, this would be a problem.  But in mathematics, we can just define a place where this problem doesn't exist.  So we'll go ahead and do that now..."

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