Bug integrating
- To: mathgroup at smc.vnet.net
- Subject: [mg28824] Bug integrating
- From: Mariano <mmateos at fourier.geol.uniovi.es>
- Date: Tue, 15 May 2001 00:58:57 -0400 (EDT)
- Organization: Universidad de Oviedo
- Sender: owner-wri-mathgroup at wolfram.com
Hola
If you make by hand the integral
Integrate[Cos[x]/Sqrt[-Log[Sin[x]]], {x, 0, Pi/2}]
it is Sqrt[Pi], which is the right value. (Make the change
Sin[x]=Exp[-t] and it goes Gamma[1/2]).
But Mathematica CANNOT DO THIS: Its says -Sqrt[Pi] !!!
If you write it as
Integrate [Cos[x]/Sqrt[Log[1/Sin[x]]], {x, 0, Pi/2}]
Mathematica will get the right value
Try it
Saludos
Mariano