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The History of Integration

Antidifferentiation Techniques (Calculus) 
Computer 
Support Material 

[0]

A brief history of integration, with emphasis on the benefits of Mathematica.
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Using the Fundamental Theorem

Substitution (Calculus) 
Computer 
Support Material 

[0]

Discusses indefinite integrals and integration by substitution.
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Table of Integrals

Antidifferentiation Techniques (Calculus) 
JavaScript 
Support Material 

[0]

This support material allows the user to see indefinite integrals for given functions and indepth proofs and explanations for certain integrals.
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Other Strategies

Antidifferentiation Techniques (Calculus) 
Computer 
Tool 

[0]

An interactive quiz on techniques of integration, including completing the square, partial fractions, rational functions of sine and cosine, and rationalizing substitutions. Gives hints and calculate...
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Antiderivatives / Indefinite I...

Antidifferentiation Techniques (Calculus) 
Flash 
Tool 

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Proof that antiderivatives are unique up to a constant.
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Fundamental Theorem of Calculu...

From derives. of basic fcns. (Calculus) 
Flash 
Tool 

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Evaluates the integral from 0 to 1 of x^2.
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Fundamental Theorem of Calculu...

From derives. of basic fcns. (Calculus) 
Flash 
Tool 

[0]

Evaluates the integral from 0 to pi of sin(x).
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Fundamental Theorem of Calculu...

From derives. of basic fcns. (Calculus) 
Flash 
Tool 

[0]

Evaluates the integral from 1 to 1 of x^3  x.
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Fundamental Theorem of Calculu...

From derives. of basic fcns. (Calculus) 
Flash 
Tool 

[0]

Evaluates an integral involving the absolute value of a polynomial.
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Fundamental Theorem of Calculu...

From derives. of basic fcns. (Calculus) 
Flash 
Tool 

[0]

Evaluates the integral from 0 to pi of 2 e^x  5 cos(x).
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Fundamental Theorem of Calculu...

From derives. of basic fcns. (Calculus) 
Flash 
Tool 

[0]

Evaluates an integral involving the absolute value of the cosine function.
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Improper Integrals

Improper integrals (Calculus) 
Flash 
Tool 

[0]

Evaluates the integral from 1 to infinity of x^(1.5).
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Improper Integrals

Improper integrals (Calculus) 
Flash 
Tool 

[0]

Shows that the integral from 1 to infinity of x^(1/3) is divergent.
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Improper Integrals

Improper integrals (Calculus) 
Flash 
Tool 

[0]

Evaluates the integral from negative infinity to 2 of 1/(x5)^(4/3).
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Improper Integrals

Improper integrals (Calculus) 
Flash 
Tool 

[0]

Evaluates the integral from negative infinity to 0 of e^(5x).
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Improper Integrals

Improper integrals (Calculus) 
Flash 
Tool 

[0]

Evaluates the integral from negative infinity to infinity of 1/(x^2+25).
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Improper Integrals

Improper integrals (Calculus) 
Flash 
Tool 

[0]

Evaluates the integral from negative infinity to infinity of x e^(5x^2).
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Improper Integrals

Improper integrals (Calculus) 
Flash 
Tool 

[0]

Uses the comparison test to determine whether an improper integral involving the sine function converges.
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Improper Integrals

Improper integrals (Calculus) 
Flash 
Tool 

[0]

Uses the Comparison Test to show that the integral from 8 to infinity of 1/(x^(1/3)  1) diverges.
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Improper Integrals

Improper integrals (Calculus) 
Flash 
Tool 

[0]

Evaluates the integral from 0 to 9 of 1/(9x)^.75.
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Improper Integrals

Improper integrals (Calculus) 
Flash 
Tool 

[0]

Shows that the integral from 0 to 9 of 1/(9x)^(4/3) diverges.
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Improper Integrals

Improper integrals (Calculus) 
Flash 
Tool 

[0]

Evaluates the integral from 3/2 to 5 of 1/(2x3)^(1/2).
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Improper Integrals

Improper integrals (Calculus) 
Flash 
Tool 

[0]

Shows that the integral from 4 to 0 of 1/(x+4)^(3/2) diverges.
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Improper Integrals

Improper integrals (Calculus) 
Flash 
Tool 

[0]

Evaluates the integral from 0 to 2 of 1/(x1)^(2/3).
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Improper Integrals

Improper integrals (Calculus) 
Flash 
Tool 

[0]

Shows that the integral from 0 to 2 of 1/(x1) diverges.
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