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ResourceSpotlight
Students numerically and graphically investigate integrals using area accumulation. Animation and graphics develop understanding. Self-check questions deepen students' understanding. Geometry Trace shows the family of functions produced by changing the value of a in the integral of f(x) from a to x. The kinematic relationships for integration are used with a piecewise function and actual data. Students predict and sketch the graph with the initial conditions.
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Texas Instruments, Inc.
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ResourceSpotlight
In this activity, students will be introduced to the concept of finding the volume of a solid formed by cross sections of a function that form certain shapes. Since volume is the area of the base times the height and dV = Area dx, student review areas of various shapes like squares, semicircles, and equilateral triangles. Geometry Trace is used to help students get a “3D” visual of the volume under consideration.
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Texas Instruments, Inc.
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I need help with the first part of this problem. I got 3 but the answer is 24. What did I do incorrectly? [ File > http://lhh.tutor.com/SharedSessionFiles/6994427b-4e24-42c4-902b-336cde386e3c_002.jpg ]
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Tutor.com
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In this video, Salman Khan of Khan Academy explains definite integrals. Part 4 of 5.
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Khan Academy
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A helpful scientific calculator that runs in your web browser window.
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Holt Online Learning
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This calculus integral reference sheet contains the definition of an integral and the following methods for approximating definite integrals: left hand rectangle, right hand rectangle, midpoint rule, trapezoid rule, and Simpson’s rule. There is a list of many common integrals. Also included in this reference sheet is nice table for trigonometric substation when using integrals. Integration by substitution is defined as well as the integration by parts.
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eCacl.com
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Very extensive help sheet that contains everything from simple derivative/integration formulas, to quick explanations of advanced derivation and integration techniques.
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Pauls Online Math Notes
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Several examples and tutorials dealing with integral calculus
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Pauls Online Math Notes
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Step-by-step solutions to odd-numbered problems from dozens of calculus textbooks.
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Hotmath
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Excellent site showing examples of algebra, trig, calculus, differential equations, and linear algebra.
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Paul's Online Math Notes
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