Re: Trouble with an integral
- To: mathgroup at smc.vnet.net
- Subject: [mg57423] Re: Trouble with an integral
- From: "Scout" <user at domain.com>
- Date: Fri, 27 May 2005 04:57:22 -0400 (EDT)
- References: <d741q1$iff$1@smc.vnet.net>
- Sender: owner-wri-mathgroup at wolfram.com
"Valeri Astanoff" <astanoff at yahoo.fr> ha scritto nel messaggio news:d741q1$iff$1 at smc.vnet.net... > Bonjour le groupe, > > Could someone give me the right answer > for this integral with parameter 'a' ? > > In[1]:=$Version > > Out[1]=5.0 for Microsoft Windows (November 18, 2003) > > In[2]:=Integrate[Sqrt[1+Sqrt[x]]/(2*Sqrt[2]*E^(a*x)*Sqrt[x]),{x,0,1}, > Assumptions -> a>0] > > Out[2]=(1/3)*(4 - Sqrt[2]) > This output is referring to a==0, NOT a>0 . The integral is unvaluable in that form. > In[3]:=%//N > > Out[3]=0.861929 > > In[4]:=NIntegrate[Sqrt[1+Sqrt[x]]/(2*Sqrt[2]*E^(2*x)*Sqrt[x]),{x,0,1}] > > Out[4]=0.491465 > This is the right answer for a==2. > > > Thanks in advance. > > v.a. > ~Scout~