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why u_p(t) = -cos(t) [sin(t)*f(t) dt] + sin(t) [cos(t)*f(t) dt] This simplifies to: u_p(t) = from 0 to t [f(s)*sin(t-s) ds]

why u_p(t) = -cos(t) [sin(t)*f(t) dt] + sin(t) [cos(t)*f(t) dt] This simplifies to: u_p(t) = from 0 to t [f(s)*sin(t-s) ds]

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