I have the following integral to evaluate: $$\frac{1}{f(t)} \int_0^t s^m f(s) \sin(ps) \mathrm{d}s \quad m,p \in \mathbb{R}$$
I'm unable to proceed with this integral as it is non-trivial. Even using a CAS doesn't help. Any suggestions with solving this in close-form somehow? Or is numerical integration my best bet?