Integral Evaluation

Riemann Sum

1) Estimating the area under a curve with a graph

2) Estimating the area under a curve with a function

3) Estimating the area under a curve with a table

4) Find the area under a curve when it is an exact geometric shape & Integral Notation

5) Estimating the area under a curve using the Trapezoidal Rule

6) Over and Under Estimates

7) Integral Properties

8) Review approximation methods and integral properties

9) First Semester Review

Antiderivatives and Indefinite Integrals

10) Basic antiderivatives (power rule; basic trig)

11) Review Basic antiderivatives

12) Particular Solution/Initial Value

13) U-Substitution with Indefinite Integrals with Powers

14) U-Substitution with Indefinite Integrals with Exponential and Trig

15) Mixed Review of Indefinite Integrals

16) Double U-Sub

Definite Integrals: Fundamental Theorem of Calculus (FTC) - evaluation part:

17) Definite Integrals with antiderivative rules

18) With U-Sub:

19) Using Definite Integrals with Integral Properties

20) Antiderivative of Derivatives

21) Integral of Piecewise functions

22) Using Your calculator to approximate definite Integrals

23) Average Value of a Function

24) Integral Review

  • 2012 Q1 - given a table: average rate of change, average value - parts a, b, and c

  • 2011 (Form B) Q6 - part a: integral evaluation

  • 2011(Form B) Q2 - given a piecewise function: average rate, instantaneous rate of change

  • 2011 (Form B) Q1 - given a function: net change, average rate of change, existence

  • 2011 Q6 - given a piecewise function: evaluate a definite integral

  • 2010 Q2 - given a table and equation: average rate, average value

  • 2009 Q5 - given a table: average rate, left Riemann sum

  • 2008 (Form B) Q3 - given a table and equation: trap sum, average value, net change

  • 2005 Q3 - given a table: average rate, average value, trap

  • 2004 Q1 - given an equation: net change, average value, average rate

  • 2003 (Form B) Q3 - given a table: average rate, midpoint sum

  • 2003 Q3 - given a table and graph: rates, average value, left Riemann sum

  • 2001 Q5 - part b - solve for a constant given a definite integral

  • 2001 Q2 - given a table and equation: trap sum, average rate, average value, instantaneous rate

  • 1999 Q3 - given a table and equation: midpoint sum, average value

26) Cumulative Review