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Problem with antiderivtive of ArcSec


Hi,
I am trying to integrate the following function:
1/(x*Sqrt[x^2-1])
The solution should be simply:
ArcSec[x]
Mathmatica gives:
-ArcTan[1/Sqrt[x^2-1]]
Why won't Mathematica give me the 'textbook' answer?
It seems that mathematica gives a solution in terms of ArcTan to any
equation like the one I listed.
Thanks,
Heath



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