```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, #14Two 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 bedone by partial integration and thus I ignore them.The others seem to be for applying decomposition using partialfractions. For which I suppose, that all CAS do it. There seemto be no sophisticated cases there, so I just state _some_.Maple 17 do them all (and I was to lazy to check for typos inthe results given in the book):L:=[#7Int( (2*x-3) / (3+6*x +2*x^2)^3,x),#9Int(1/(x^2+3*x+2)^5,x),#11Int(x^9/(x^2+3*x+2)^5, x),#12Int((1+2*x)^2/(3+5*x+2*x^2)^5,x),#13Int( (a-b*x^2)^3/x^7,x),#14Int(x^13/(a^4+x^4)^5,x)];Now let the system evaluate, differentiate w.r.t. x and letit check, whether the integrand is recovered:   map( t -> diff(value(t),x) = op(1,t), L);   simplify(%);   map(is, %);                  [true, true, true, true, true, true]Sorry for a non-complete treatment.
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