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Week 1 review problems for Calculus 2 (Spring 2025) --- Applications of integration: volume

Beard Meets Calculus 1,783 3 months ago
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A set of problems that cover material from the first week of Calculus 2 (e.g. using integration to find volumes). For more information, including scanned copies of the material: https://www.calc2.org/ Presenter: Steve Butler (https://www.stevebutler.org/) 0:00 Intro 1:26 1-Volume by cross section; isosceles right triangle 15:34 2-Volume by cross section (Cavalieri's Principle) 22:01 3-Volume by washer method 28:49 4-Volume by washer method (handling tan^4(x)) 42:54 5-Volume by shell method 50:05 6-Volume by cross section; right tetrahedron 1:03:55 7-Volume by washer method 1:13:34 8-Using volumes to find area 1:21:00 9-Set up shell method problem 1:28:49 10-Volume by shell method (keep only half)

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