What confused me was that if I make the substitution then the limits also change. This is, however, irrelevant as the cosine is periodic; the only thing that matters is that the length of the interval over which the integration is performed is 2 pi. I'm sorry for not seeing this myself. I just...
Hi
I'm trying to compute the following integral (in LaTeX notation; * denotes multiplication)
\int_0^{2\pi} exp (k_1 * cos (t + k_2)) d t
with k_1 and k_2 being known constants. Furthermore k_2 is between 0 and 2 pi.
From Wikipedia [1] I get the following formula
\int_0^{2\pi}...