2. WHAT GRADE DO YOU FEEL YOU DESERVE ON MIDTERM #3? A) AB) B C) CD) DE) E

3. THE AREA PROBLEM

4. STATISTICS (PROBABILITY)

6. ECOLOGY

7. ENGINEERING

8. CHEMISTRY

9. MUSIC

10. DISTANCE

11. THE AREA PROBLEM

12. A SOLUTION TO THE AREA PROBLEM

14. BERNHARD RIEMANN GaussRiemann Riemann Sum

16. NET AREA

17. EXAMPLE A) Still working…  B) Finished! C) Stuck!  Find the area beneath the curve y=.5x between x=2 and x=6. How do you express this problem using integral notation?

18. EXAMPLE A) Still working…  B) Finished! C) Stuck!  Find the area beneath the curve y=.5x between x=2 and x=6. Find the area using this sketch.

19. EXAMPLE A) Still working…  B) Finished! C) Stuck!  Find the area beneath the curve y=.5x between x=2 and x=6. Estimate the area using R 4.

20. EXAMPLE Find the area beneath the curve y=.5x between x=2 and x=6. Find the area using the definition of definite integral.