Calculus‎ > ‎

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 Worksheet | Answers

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 WS | Answers
  • 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 WS | Answers