Re: Integral evaluation bug?
- To: mathgroup at smc.vnet.net
- Subject: [mg23866] Re: Integral evaluation bug?
- From: Mark Fisher <me.fisher at atl.frb.org>
- Date: Thu, 15 Jun 2000 00:51:05 -0400 (EDT)
- Organization: Federal Reserve Board
- References: <8i1t9m$jnl@smc.vnet.net>
- Sender: owner-wri-mathgroup at wolfram.com
Looks like a bug to me. Try this instead:
Integrate[Sqrt[1 + Cos[x]^2], {x, 0, b}] /. b -> Pi/2
Using Mathematica 4.0 it returns
Sqrt[2]*EllipticE[1/2]
which agress numerically with
NIntegrate[Sqrt[1 + Cos[x]^2], {x, 0, Pi/2}]
--Mark.
Mark Fisher
Economic Advisor
Research Department
Federal Reserve Bank of Atlanta
Atlanta, GA 30303
404-521-8757 (voice)
404-521-8810 (fax)
mark.fisher at atl.frb.org
personal web page: www.markfisher.net