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    Maple : Is it really that hard to realize that sin(pi)=0 ?!

    I have an annoying problem in Maple. I wanted maple to calculate the 10^th taylor series of f(x), while: f(x):=\frac{1}{2\pi}\int^{\pi}_0 e^{xcos(t)} dt and so I wrote : f := (int(exp(x*cos(t)), t = 0 .. pi))/(2*pi) p10 := taylor(f, x = 0, 11) And I got an answer that involved multiplying...