Math 106-01: Calculus II: Reading Homework 7.3

1. Integration by Parts : what does integration by parts do?
   
   1. The Idea : how does the book guess an antiderivative for x e^x?
      
   2. Integration by Parts : what is the integration by parts formula?
      
      1. use : when is this useful?
         
      2. choosing u and v' : what are the basic rules for picking which part of the integrand to be each part of the integration by parts formula?
         
      3. other uses : in what other cases is integration by parts sometimes useful? how does the book find the antiderivative of cos²(theta)?