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Feynman Integration: The Double Differentiation Shortcut
Автор: The Feynman Technique
Загружено: 2026-01-22
Просмотров: 19
Описание:
In this video, we revisit the powerful Feynman Technique to solve $\int_{0}^{\infty}\frac{1-\cos(ax)}{x^{2}}e^{-bx}dx$. While the $x^2$ denominator usually suggests differentiating twice, we can take a shortcut! By differentiating once, we recognize a familiar integral from a previous video ($\int \frac{\sin(ax)}{x}e^{-bx}dx$). We simply plug in that known result and integrate back, turning a potentially long problem into a quick and elegant solution.
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