Question: Evaluating sin(m*pi)

I have been looking at integrals of various summations of cos(m*pi) for m = 1, 2, 3, .....a specific n with limits -1 and 1.  Currently, when maple provides an answer it contains numerous terms of the form sin (m*pi) for some m.  Clearly all these terms should = 0 which would simplify the answer greatly, but maple does not seem to recognise this.  Is there a way of forcing maple to recognise that all these terms should be 0.  I have tried the eval, evalf and value functions but none of these seemed to help.

Secondly, having managed to simplify the answer (through a rather long winded process) I have been left with an answer containing pi.  Can this answer be produced in numerical form?

Many thanks

Please Wait...