#mathanimation — Public Fediverse posts
Live and recent posts from across the Fediverse tagged #mathanimation, aggregated by home.social.
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Watch at: https://youtu.be/LvFyHqzaIZ0
Play at: https://www.desmos.com/3d/d2eetcw1bz#youtube #youtuber #youtubechannel #desmos #desmosart #desmosanimation #desmos3d #christmas #christmas2025 #christmasTree #christmasEve #merrychristmas #merryxmas #merrychristmas2025 #xmas #xmas2025 #xmastree #animation #animated #animation3d #3d #3dart #3danimation #nerd #geek #math #maths #mathart #mathanimation #graph #equation #art #artist #artistsonmastodon #snow
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USM is a single, systematic framework that unifies trigonometric, hyperbolic, and complex-exponential substitutions into one coherent method. No more hunting through a dozen separate “recipes” for different radicals or inverse-trig integrals—you rewrite x + b as e^(±i α) (or e^θ), track sign/branch choices algorithmically, and reduce everything to a rational (“polynomish”) integral in a new variable.
Why USM shines for ∫ e^(arccos(x)) dx:
• Transforms e^(arccos(x)) into simple powers of t = e^(–i arccos(x))
• Eliminates the usual integration-by-parts slog
• Integrates term-by-term in one shot, then back-substitutes for a crisp final form📄 Dive deeper! Check out my draft article “A Unified Substitution Method for Integration” for full proofs, more examples, and the USM’s broader scope (link in bio).
#UnifiedSubstitutionMethod #USM #Calculus #Integration #MathAnimation #Manim #MathHack #STEM #Education #InstaMath #LearnWithAnimation #MathLife #GarciaUSM #ReadTheDraft