1. The problem statement, all variables and given/known data I need to integrate the equation shown below in the picture. It is a polar coordinate function with r(double dot) being the acceleration radial and theta(double dot) being angular acceleration. I need to integrate with respect to time, to get equations for r(dot) and r, and theta(dot) and theta, however I am having trouble with integrating the last terms of the equation, where there is r and theta together, as both are in terms of time, (is this a integration by parts?) , and also sin(gamma) = r(dot)/v where v is the magnitude of r(dot). This confuses me, how do I integrate sin(gamma) if it is in terms of time, and how then do I integrate v if it is in terms of r(dot) and r(dot) is in terms of time? See the other picture below. 2. Relevant equations Integration equations.? 3. The attempt at a solution I have no idea where to start integrating sin(gamma) and the last term of each equation.. Thanks guys and girls.