1. Chapter 4
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. Using a Right-Sided Sum
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)
Average Value

17. Mean Value Theorem
Average Value

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

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

20. 2nd Fundamental
Theorem of Calculus

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