1. 5.2 General Power Rule and Integration:Goal: - to integrate functions General Power Rule If u is a differentiable function of x then To use this you must identify what is the function and what is the derivative of the function.

2. i.e. Function part derivative part

3. Examples: u = du = u = du =

4. u = du =

7. Sometimes the general power rule does not work – what else can we try?

9. The general power rule takes the form: We identify u and du then integrate.

10. Example