Abstracting the Integral—Pyramids and Dams
Lecture no. 11 from the course: Change and Motion: Calculus Made Clear, 2nd Edition
Taught by Professor Michael Starbird | 30 min | Categories: The Great Courses Plus Online Science Course
Archimedes devised an ingenious method that foreshadowed the idea of the integral in that it involved slicing a sphere into thin sections. Integrals provide effective techniques for computing volumes of solids and areas of surfaces. The image of an onion is useful in investigating how a solid ball can be viewed as layers of surfaces.