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Trouble with an integral


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.


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