Solving an integral in the limit.
- To: mathgroup at smc.vnet.net
- Subject: [mg62389] Solving an integral in the limit.
- From: Josef Karthauser <joe at tao.org.uk>
- Date: Wed, 23 Nov 2005 01:12:06 -0500 (EST)
- Sender: owner-wri-mathgroup at wolfram.com
I'm having trouble solving a complicated integral using mathematica,
and I'm looking for some wisdom on the matter.
The problem can be summarised as follows. Mathematica can determine
the solution to,
Integrate[E^(I*x^2)/ Sqrt[1 + x^2], {x, 0, Infinity}]
but if I replace the upper bound with a free variable and take the limit
as it goes to Infinity mathematica doesn't manage it,
Limit[Integrate[E^(I*x^2)/ Sqrt[1 + x^2], {x, 0, a}], a -> Infinity]
Surely it should be able to determine that the answer is the same as in
the previous case. Is there anyway to pursuade it?
Many thanks,
Joe
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