Integrate with PrincipalValue->True
- To: mathgroup at smc.vnet.net
- Subject: [mg79924] Integrate with PrincipalValue->True
- From: chuck009 <dmilioto at comcast.com>
- Date: Thu, 9 Aug 2007 05:12:09 -0400 (EDT)
Can someone explain to me how Integrate calculates the following improper integral?
In[42]:= $Version
Integrate[Sqrt[x]/(1 - x^2), {x, 0, a},
PrincipalValue -> True, Assumptions ->
a > 1]
Out[42]= "6.0 for Microsoft Windows (32-bit) (June 19, 2007)"
Out[43]= ArcCoth[Sqrt[a]] - ArcTan[Sqrt[a]]
Thanks,
Charles