Integral Manor
Integration as a sprawling, haunted house: scenic but useless substitutions, a change-variables-three-times slide, numerical integration as an escape pole, and the constant of integration as a lonely beast.
Transcript
[Title] "INTEGRAL MANOR" [A house, labeled:] "the scenic but useless substitution" (a rooftop deck) · "escape pole" · "the numerical integration" · "the change-variables-three-times slide" · "when the whole region is below the axis" · "when the lower bound is greater" · "the constant of integration, imagined here as a powerful yet lonely beast"
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Free for classrooms, worksheets, slides and other non-commercial use under CC BY-NC 4.0, with credit to Ben Orlin.
Cartoon by Ben Orlin, Math with Bad Drawings. https://cartoons.mathwithbaddrawings.com/2019-10-08-integral-manor/ (CC BY-NC 4.0)