Date: Apr 26, 2013 3:47 PM
Author: Axel Vogt
Subject: integration test suite / Chap 3
These are the excercises for Chap 3 in Timofeev's book,
p.101 #1 - #3, p.105 #4 - #9, p.109 #10 - #12, p.113 #13, #14
Two of them are 'reductions formula' for a linear term, #4 and #5.
For those I have no idea how to test with Maple - they should be
done by partial integration and thus I ignore them.
The others seem to be for applying decomposition using partial
fractions. For which I suppose, that all CAS do it. There seem
to be no sophisticated cases there, so I just state _some_.
Maple 17 do them all (and I was to lazy to check for typos in
the results given in the book):
Int( (2*x-3) / (3+6*x +2*x^2)^3,x),
Now let the system evaluate, differentiate w.r.t. x and let
it check, whether the integrand is recovered:
map( t -> diff(value(t),x) = op(1,t), L);
[true, true, true, true, true, true]
Sorry for a non-complete treatment.