large integration result for simple problem: 1/x,, also BesselJ
- To: mathgroup at smc.vnet.net
- Subject: [mg122814] large integration result for simple problem: 1/x,, also BesselJ
- From: Richard Fateman <fateman at cs.berkeley.edu>
- Date: Fri, 11 Nov 2011 04:55:15 -0500 (EST)
- Delivered-to: l-mathgroup@mail-archive0.wolfram.com
(at least in Mathematica 7.0)
try
Integrate[1/x,{x,a,b}]
Also
Integrate[BesselJ[n, b*x], {x, 0, Infinity}, Assumptions -> Re[n] > -1 ]
which returns an expression including this ....
b^(-2 + n) (b^2)^(1/2 - n/2)
which should be possible to simplify. For example, for b>0, the
expression is 1/b.
maybe 1/b * If[b>0, 1 , -(-1)^n] or so.
I've been playing with integration of expressions involving Bessel
functions. Mathematica is sometimes surprising, on both sides of the
ledger -- (Yes we Can and No we Can't).
RJF
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