1. Every slope is a derivative. Velocity = slope of the tangent line to a position vs. time graph Acceleration = slope of the velocity vs. time graph How then can we move up the stack of graphs?

3. But

5. What if the graph is Increase the # of rectangles Fill the area with rectangles

6. What if the graph is Increase the # of rectangles Fill the area with rectangles

7. Definite Integral – the area under the curve between definite limits Upper limit Lower limit

8. Differentiation Formula Integration Formula Power Rule Let a, b, g, e, m, and n be constants.

9. Differentiation Formula Integration Formula Let a, b, g, e, m, and n be constants.

10. Sum or Difference Differentiation Formula Integration Formula Let a, b, g, e, m, and n be constants.

11. 0 12 3 4 2 4 6 8 10 12 14 16 18 Method 1

12. Method 2 0 12 3 4 2 4 6 8 10 12 14 16 18

13. 0 12 3 4 2 4 6 8 10 12 14 16 18 Method 1

14. Method 2 0 12 3 4 2 4 6 8 10 12 14 16 18

15. 12