Browsing: All Content in Calculus for Applications of Integrals  Browse discussions |
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Technology |
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Integrals Using Riemann Sums
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Riemann sums and integrals (Calculus) |
Calculator |
Activity |
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A discovery worksheet that allows students to find the formal definition for Riemann sums. It ends with practice questions that students can do on their own. Included in the teacher sheets is an art...
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Area Function Exercise
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Area of a region (Calculus) |
Computer |
Activity |
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Explore the graph of an area function, that is, a function defined as the integral of another function.
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Simon Says...
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Vol. of a solid of revolution (Calculus) |
Computer |
Activity |
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A calculus integration project based on the small radio controlled blimp named Simon.
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Volume of a Cone Exercise
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Solids with known X-sections (Calculus) |
Computer |
Activity |
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Supply a justification for each step in this proof of the volume formula for a cone. A printable worksheet.
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Volume of a Cone: A Proof With...
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Solids with known X-sections (Calculus) |
Computer |
Activity |
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Supply a justification for each step in this proof of the volume formula for a cone.
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The Area Function
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Area of a region (Calculus) |
TI-Nspire |
Activity |
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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
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Area of a region (Calculus) |
Computer |
Support Material |
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Detailed directions for producing the Geometer's Sketchpad construction used to create the Area applet.
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Area Function Applet
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Area of a region (Calculus) |
Computer |
Support Material |
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Directions for producing the Geometer's Sketchpad construction used to create the Area Function applet.
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Area between two curves
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Area of a region (Calculus) |
Computer |
Support Material |
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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
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Area of a region (Calculus) |
Computer |
Support Material |
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Graph of the region bounded by the curves f(x) = x^4+2x^2 and g(x) = 28-x^2.
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Area between two curves
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Area of a region (Calculus) |
Computer |
Support Material |
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[1]
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Graph of the region bounded by the curves f(x) = x^3 and g(x) = x.
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Area between two curves
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Area of a region (Calculus) |
Computer |
Support Material |
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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
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Area of a region (Calculus) |
Computer |
Support Material |
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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
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Area of a region (Calculus) |
Computer |
Support Material |
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Graph of the region between the curves f(x) = ln(x+1), g(x) = 1-x, and the x-axis.
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Areas Bounded by Polar Curves
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Area of a region (Calculus) |
Computer |
Support Material |
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A formula for finding the area of a region defined in terms of a function in polar coordinates.
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Integrals At Work
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Applications of Integrals (Calculus) |
Computer |
Support Material |
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A brief discussion of some applications of integrals.
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Riemann Integral
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Riemann sums and integrals (Calculus) |
Computer |
Support Material |
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Discusses the integral as a sophisticated form of summation.
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Volume of a Cone Applet
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Solids with known X-sections (Calculus) |
Computer |
Support Material |
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Detailed directions for producing the Geometer's Sketchpad construction used to create the Area Function applet.
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Area Between Curve and x-axis
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Area of a region (Calculus) |
Computer |
Tool |
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A Geometer's Sketchpad document used to create an applet to illustrate the area between a curve and the x-axis.
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Area Between a Curve and the x...
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Area of a region (Calculus) |
Computer |
Tool |
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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
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Area of a region (Calculus) |
Computer |
Tool |
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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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Cone
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Solids with known X-sections (Calculus) |
Computer |
Tool |
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A Geometer's Sketchpad document used to create an applet to experiment with cross sections of a right cone.
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Arc Length
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Arc length (Calculus) |
Flash |
Tool |
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Discusses the formula for arc length.
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Arc Length
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Arc length (Calculus) |
Flash |
Tool |
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Discusses the arc length formula for a curve defined by a parametrization.
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Arc Length
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Arc length (Calculus) |
Flash |
Tool |
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Uses the arc length formula to find the circumference of a circle.
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