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Separation of variables is needed.

Put the problem in this form and the integrate both sides.
\[g(p) dp=f(t) dt \]

You can actually leave k on the side it is on or divide both sides by k. It doesn't matter.

I don't get where the last bit came from

So did you set if up like I told you to?

And then integrate?

\[\frac{1}{p} dp=k \cos^2(rt-v) dt\]

\[\ln|p|=k \int\limits_{}^{} \frac{1}{2}(\cos(2[rt-v]+1) dt\]

yeah that's what I did

i'm just not getting the last bit k/2r sin(2v)

help needed urgently!!!