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ALGEBRA SUBSTITUTION METHOD CALCULATOR
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Antiderivatives / Indefinite Integrals
 Table of Elementary Indefinite Integrals
 An example illustrating the evaluation of an indefinite integral using properties of indefinite integrals.
[using Flash]  Drill on evaluating simple integrals using the Table of Elementary Integrals.
[]  Drill on evaluating simple integrals with initial conditions.
[]  Application of indefinite integrals.
[using Flash]  Another application of indefinite integrals.
[using Flash]
A tutorial on slope fields with an interactive JAVA applet to explore slope fields.
 An interactive LiveMath notebook that graphs the slope field for a function and graphs antiderivatives.
 A computer program that graphs the slope field for a function.
 Another computer program that graphs the slope field for a function and graphs antiderivatives.
 An animation illustrating the different solutions for indefinite integrals using slope fields.
 Using a TI86 graphing calculator to graph slope fields and the antiderivative of a function.
[using Flash]  TI85 graphing calculator programs to graph slope fields.
Areas
 An animation illustrating the approximation of the area under the sine function by inscribed and circumscribed rectangles.
 An animation illustrating the approximation of the area under a parabola by inscribed and circumscribed rectangles.
 A computer program that illustrates the approximation of the area of a circle using inscribed polygons.
 An animation showing the approximation of the area of a circle using inscribed polygons.
 A computer program that graphically illustrates the Monte Carlo Method to find areas.
Riemann Sums
 A tutorial on summations and summation notation.
 Drill in finding Riemann Sums of linear functions (using IBM TechExplorer)
 An example of a sum evaluated using the TI85 or TI86 graphing calculator.
 Another example of a sum evaluated using the TI85 or TI86 graphing calculator.
 An interactive LiveMath Notebook to evaluate Riemann Sums.
 Using a graphing calculator to evaluate Riemann Sums.
 Computer software that graphically illustrates the use of Riemann sums to approximate the area bounded by the graph of a function and the xaxis and a couple of lines.
 Computer software that graphically and numerically approximate an area.
 Computer software that graphically and numerically approximate an area by evaluating upper and lower Riemann sums.
Definite Integrals
 A Flash movie illustrating the evaluation of a definite integral using the definition.
illustrating the finding the area by using the definition of a definite integral.  Using a computer algebra system and Riemann sums to evaluate definite integrals.
 Computer software that can symbolically evaluate an integral using Riemann Sums.
Fundamental Theorem of Calculus
Techniques of Integration  Substitution
 Drill problems for integration using the method of substitution.
 Quiz on substitutions and elementary integrals.
 Drill on evaluating certain integrals.
[ for integration using the method of trigonometric substitution.  Using Maple to illustrate the method of substitution.
Techniques of Integration  Integration by Parts
 Some drill problems using Integration by Parts.
[]  Some drill problems using Integration by Parts.
[]  Some drill problems using Integration by Parts.
[ of Integration by Parts formula (uses dynamic html).  Using Maple to illustrate the method of Integration by Parts.
Techniques of Integration  Reduction Formulas
 Drill problems for evaluating trigonometric integrals using recursion or reduction formulas.
 Using Maple to obtain some reduction formulas.
Techniques of Integration  Partial Fractions
 Examples illustrating the the method of Partial Fractions.
 Some drill problems
[ for integration using the method of Partial Fractions.
Techniques of Integration
 Using Maple to evaluate indefinite integrals.
Numerical Integration
Improper Integrals
 Drill problems on evaluating improper integrals over unbounded intervals. [ on evaluating improper integrals over unbounded intervals.