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Lesson #106 Logs and Long Division
Students investigate a method of evaluating integrals using long division. In this calculus lesson, 12th graders examine a method of using long division to perform integration. The lesson includes a bingo worksheet on exponential and...
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Worksheet 12: Area of Regions
In this area of regions learning exercise, students find the area of regions bounded by graphs. They evaluate integrals for the volume of solids and integrate functions. This three-page learning exercise contains approximately 25...
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Worksheet 15: Integrals
In this integral instructional activity, students identify improper integrals as convergent or divergent. They compute the area and volume of regions bounded by a graph. This two-page instructional activity contains approximately...
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Triple Integrals Over Solid Regions
In this math worksheet, students investigate a solid mass that is suspended. Then they find the integral to help define its placement in space.
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Integrals with Odd Powers of Secant and Tangent
Students discuss what integrals can be taken that involve secants and tangents. They use a list of ten samples, and discuss each of them. Students use trig substitution using trig identities (tan^2+1=sec^2x and tan^2x=sec^2x-1). They...
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Integrals with Even Powers of Secant and Tangent
Students integrate integrals that involve even powers of tangents and secants. They work several problems that require the use of integration, and the identity tan^2x+1=sec^2x. Students use integration by parts for the first integral....