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Area Function Exercise

Area of a region (Calculus) 
Computer 
Activity 

[1]

Explore the graph of an area function, that is, a function defined as the integral of another function.
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The Area Function

Area of a region (Calculus) 
TINspire 
Activity 

[0]

In this activity, students will look at the graph of a function g(x), defined to be the integral of a function f(x), with the goal of understanding Part 1 of the Fundamental Theorem of Calculus. Speci...
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Area Applet

Area of a region (Calculus) 
Computer 
Support Material 

[0]

Detailed directions for producing the Geometer's Sketchpad construction used to create the Area applet.
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Area Function Applet

Area of a region (Calculus) 
Computer 
Support Material 

[0]

Directions for producing the Geometer's Sketchpad construction used to create the Area Function applet.
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Area between two curves

Area of a region (Calculus) 
Computer 
Support Material 

[0]

Graph of the region bounded by the curves f(x) = x^2 and g(x) = x^3.
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Area between two curves

Area of a region (Calculus) 
Computer 
Support Material 

[1]

Graph of the region bounded by the curves f(x) = x^4+2x^2 and g(x) = 28x^2.
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Area between two curves

Area of a region (Calculus) 
Computer 
Support Material 

[1]

Graph of the region bounded by the curves f(x) = x^3 and g(x) = x.
More: lessons, discussions, ratings, reviews,...

Area between two curves

Area of a region (Calculus) 
Computer 
Support Material 

[0]

Graph of the region bounded by the curves f(x) = x^3, g(x) = x, and h(x) = 1/x^2.
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Area between two curves

Area of a region (Calculus) 
Computer 
Support Material 

[2]

Graph of the region bounded by the curves f(x) = e^(x), g(x) = e^(2x), and h(x) = 7.
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Area between two curves

Area of a region (Calculus) 
Computer 
Support Material 

[0]

Graph of the region between the curves f(x) = ln(x+1), g(x) = 1x, and the xaxis.
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Areas Bounded by Polar Curves

Area of a region (Calculus) 
Computer 
Support Material 

[0]

A formula for finding the area of a region defined in terms of a function in polar coordinates.
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Area Between Curve and xaxis

Area of a region (Calculus) 
Computer 
Tool 

[0]

A Geometer's Sketchpad document used to create an applet to illustrate the area between a curve and the xaxis.
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Area Between a Curve and the x...

Area of a region (Calculus) 
Computer 
Tool 

[0]

Instructions for using the Area applet to investigate the relationship between the definite integral and the area under a curve.
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Area Function

Area of a region (Calculus) 
Computer 
Tool 

[0]

A Geometer's Sketchpad document used to create an applet to compare graphs of a function and the area underneath the function.
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Area Bounded by a Parametric C...

Area of a region (Calculus) 
Flash 
Tool 

[0]

Calculates the area of a region given by a parametric equation.
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Area between two curves

Area of a region (Calculus) 
Flash 
Tool 

[0]

Discusses the method for finding the area between two curves.
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Area between two curves

Area of a region (Calculus) 
Flash 
Tool 

[0]

Calculates the area of the region bounded by the curves f(x) = x^2 and g(x) = x^3.
More: lessons, discussions, ratings, reviews,...

Area between two curves

Area of a region (Calculus) 
Flash 
Tool 

[0]

Calculates the area of the region bounded by the curves f(x) = x^4+2x^2 and g(x) = 28x^2.
More: lessons, discussions, ratings, reviews,...

Area between two curves

Area of a region (Calculus) 
Flash 
Tool 

[0]

Calculates the area of the region bounded by the curves f(x) = x^3 and g(x) = x.
More: lessons, discussions, ratings, reviews,...

Area between two curves

Area of a region (Calculus) 
Flash 
Tool 

[0]

Calculates the area of the region bounded by the curves f(x) = x^3, g(x) = x, and h(x) = 1/x^2.
More: lessons, discussions, ratings, reviews,...

Area between two curves

Area of a region (Calculus) 
Flash 
Tool 

[0]

Calculates the area of the region bounded by the curves f(x) = e^(x), g(x) = e^(2x), and h(x) = 7.
More: lessons, discussions, ratings, reviews,...

Area between two curves

Area of a region (Calculus) 
Flash 
Tool 

[0]

Discusses how to find the area between two curves using functions defined in terms of y instead of x.
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Area between two curves

Area of a region (Calculus) 
Flash 
Tool 

[0]

Uses an integral in terms of y to find the area between the curves f(x) = ln(x+1), g(x) = 1x, and the xaxis.
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Areas Bounded by Polar Curves

Area of a region (Calculus) 
Flash 
Tool 

[0]

Discusses the formula for the area of a region defined in terms of a function in polar coordinates.
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Areas Bounded by Polar Curves

Area of a region (Calculus) 
Flash 
Tool 

[0]

Finds the area of a region defined by the equation in polar coordinates r = 4 sin(t).
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