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Re: Bug of Integrate

  • To: mathgroup at smc.vnet.net
  • Subject: [mg82722] Re: Bug of Integrate
  • From: Costa Bravo <laguna at aol.com>
  • Date: Tue, 30 Oct 2007 03:19:24 -0500 (EST)
  • References: <fg4dfv$6c3$1@smc.vnet.net>

  Miguel wrote:

> Integrate[Sqrt[1/Cos[t]^2]*3*Cos[t],{t,0,2Pi}]  Mathematica 6.0.1
> yields -6*Pi.

  this is bug
  Mathematica 5.0 yields 0  (OK !)
> 
> Simplifying the expresion resultrs Integrate[3,{t,0,2*Pi}] 

No
  Assuming[t>0,Sqrt[1/Cos[t]^2]*3*Cos[t]//Simplify]

Out : 3 Abs[Sec[t]] Cos[t]      (* w *)

  =>  w = If[ 1/2Pi < t < 3/2Pi, -3, 3 ]

-- 
    Costa


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