Trouble with an integral
- To: mathgroup at smc.vnet.net
- Subject: [mg57378] Trouble with an integral
- From: "Valeri Astanoff" <astanoff at yahoo.fr>
- Date: Thu, 26 May 2005 04:31:22 -0400 (EDT)
- Sender: owner-wri-mathgroup at wolfram.com
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])
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
Thanks in advance.
v.a.