Bertfried Fauser wrote:
Hi,
am I stupid, why not just differentiating to see which expression is correct?
In 14.661 Schaums claims:
integral acoth(x/a) = x*acoth(x)+a/2*log(x^2-a^2)
^^^^^^^^
Axiom claims
integral acoth(x/a) = x*acoth(x/a)+a/2*log(x^2-a^2)
^^^^^^^^^^
Is this a Schaums typo?
I used maple to differentiate the second option, which loos correct:
diff(x*arccoth(x/a)+a/2*log(x^2-a^2),x);
simplify(%);
--> arccoth(x/a)
with axiom its even simpler, if you type
x*acoth(x/a)+a/2*log(x^2-a^2)
differentiate(%,x)
--> acoth(x/a)
So this is the correct expression and Schaum (as given above, I don't
ow a copy)
has a typo.
Ciao
BF.
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