I have a calculus question
I came across this integral while doing a physics question.
Is it possible to calculate:
with θ(t) as function in terms of t.
I'm hoping to somehow remove the integral so it is easier to work with. θ(t) is continuous and differentiable everywhere, if it helps.
I tried using the Maclaurin expansion of cos(x), but I got stuck at finding:
∫ θ(t)2k+1 dt
for k ∈ [0,∞]