1. Chapter 5 Integration

2. Indefinite Integral or Antiderivative

4. Find the Particular Solution or Solve the Differential Equation

5. 1.Change into a differential equation. 2.Integrate both sides of the equation. 3.Find c by plugging in the coordinate. 4.Replace c and write the particular solution.

6. 1 st Fundamental Theorem of Calculus Definite Integral or Area Under the Curve on the interval [a,b]

7. Area below the x-axis is NEGATIVE

8. Approximate the Area Under a Curve Using a Left-Sided Sum

10. Approximate the Area Under a Curve Using a Right-Sided Sum

12. Approximate the Area Under a Curve Using a Midpoint Sum

13. Midpoint Sum

14. Approximate the Area Under a Curve Using a Trapezoid Sum

16. Mean Value Theorem (MVT) or Average Value

17. Mean Value Theorem Average Value

18. Find the x value where you get the Average Value

19. 1.Find the Average Value. 2.Set the original function equal to the Average Value. 3.Solve for x.

20. 2 nd Fundamental Theorem of Calculus

23. 0

28. Integrate an Even Function

30. Integrate an Odd Function

32. U-Substitution or Change of Variables

34. Find Definite Integral Using U-Substitution or Change of Variables