Volume Using Known Cross Sections (Slicing) Examples | Calculus 2 - JK Math
Example Problems For How to Calculate Volume of Solids With Known Cross Sections (Calculus 2)
In this video we look at several practice problems of calculating the volume of solids with known cross sections perpendicular to the x-axis or y-axis using definite integrals. Sometimes this is also referred to as volume by slicing.
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This series is designed to help students understand the concepts of Calculus 2 at a grounded level. No long, boring, and unnecessary explanations, just what you need to know at a reasonable and digestible pace, with the goal of each video being shorter than the average school lecture!
Calculus 2 requires a solid understanding of calculus 1, precalculus, and algebra concepts and techniques. This includes limits, differentiation, basic integration, factoring, equation manipulation, trigonometric functions, logarithms, graphing, and much more. If you are not familiar with these prerequisite topics, be sure to learn them first!
Video Chapters:
0:00 Example 1 - y=x^2, y=0, x=4, Isosceles Triangles Perpendicular to x-axis
6:37 Example 2 - x^2+y^2=1, Squares Perpendicular to y-axis
14:40 Example 3 - y=x+1, y=x^2-1, Rectangles With a Height of 3 Perpendicular to x-axis
25:05 Outro
📝 Lesson Video For These Examples: • Volume Using Known Cross Sections (Slicing...
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