Answer:
1. With the given formula, Integration by parts, we can use the technique L.I.A.T.E. (logs, inverse trig, algebraic, trig func, exponential). The term closer to E is the term usually integrated and the term closer to L is the term that is usually differentiated. In the given problem, the term x which is Algebraic comes first than the term e^x which is Exponential, thus we can use the term x as our u value.
2. (-xCos(x)) + Sin(x) + C
3. (-Cos(x)) + ⅔Cos(x)³- ((Cos(x)⁵)/5)
