Chapter 5 Integration

1. Chapter 5 Integration

2. Indefinite Integral or Antiderivative

4. Find the Particular Solution or Solve the Differential Equation

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

6. 1st 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. Find the Average Value. Set the original function equal to the Average Value. Solve for x.

20. 2nd 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