I have this problem:
Evaluate the line integral, where C is the given curve.
∫C xyz ds
C: x = 9sin(t), y = t, z = -9cos(t), 0 ≤ t ≤ π
After applying the parametrization and everything, I ended up with having to integrate something like: t*sin(t)*cos(t)dt
I have no clue how to integrate that. Integration by parts fails as far as I see, and I can't think of any identities or other tricks to change it to something workable.