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...