After manually working out answer for problem 44 in Mathews & Walker's Mathematical Methods of Physics , I tried to check my solution with maple2015. Briefly the problem involves inputs periodic with period T, being transformed into outputs, through a kernal G. The net result is that all input frequencies omega periodic in T are multiplied by (omega_0/omega)^2, except for constant frequency which transforms to zero. The problem asks to evaluate the kernal G.
Maple2015 correctly evaluated the integral for a constant input, a cosine input, and a sine input, but gave undefined when I tried an exponential(i*x) input which is just a linear combination of the two previous inputs. I found this interesting because the integral is finite, well defined, and only has an absolute function (in the kernal), which may cause Maple problems, as it correctly evaluated integral when I split it into two regions. Interestingly if instead of working with a period of T, I used 2*pi, and redfined my G function accordingly, Maple evaluated the exp input integral without any problems. So the problem appears to be with the T variable, but I correctly used assumptions of T>0, and 0<t<T, so I am not sure why it would work correctly when I use T=2*pi, but failed when using a general period T. Any help would be welcome.
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Originally T, renamed T~:
Involved in the following expressions with properties Tt assumed RealRange(Open(0),infinity) is assumed to be: real also used in the following assumed objects [Tt] assumed RealRange(Open(0),infinity)


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Originally t, renamed t~:
Involved in the following expressions with properties Tt assumed RealRange(Open(0),infinity) is assumed to be: RealRange(Open(0),infinity) also used in the following assumed objects [Tt] assumed RealRange(Open(0),infinity)


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Originally n, renamed n~:
is assumed to be: AndProp(integer,RealRange(1,infinity))


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