One of Calculus's Most Famous Theorems Explained Visually

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Integration by Parts is one of calculus's most famous integration theorems. However, although the way it is usually proved as a result of the product rule of differentiation is effective, it lacks any visual intuition. This video aims to correct that by providing and interesting way of viewing integration by parts visually.

This video was based on a "Proof without Words" titled "Integration by Parts" by Richard Courant. This proof comes from Volume 1 of the book Proofs Without Words: Exercises in Visual Thinking by Roger B. Nelson.

Works Cited:
Nelsen, R. B. "Trigonometry, calculus, & analytic geometry." Proofs without words: Exercises in visual thinking, American Mathematical Soc., 2020, p. 42.