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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