1. ) A particle is moving according to the following data. Find the position function of the particle : ; , . ( 14 points )

2. ) Use the Fundamental Theorem of Calculus to evaluate the integral, or explain why it does not exist : . ( 8 points )

3. ) Estimate the area under the graph of from to using 5 approximating rectangles and right endpoints. ( 12 points )

4. ) In problem # 3, is your estimation an underestimate or overestimate? ( 5 points )

5. ) Use the definition of the integral in Section 5.2 in terms of a Riemann sum to evaluate the integral : . ( 15 points )

6. ) Evaluate the following integral : . ( 10 points )

Evaluate the following integrals : ( 14 points each )

7. )

8. )

9. )

10. )