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Green's Theorem, explained visually

Support me on Patreon!   / vcubingx   This video aims to introduce green's theorem, which relates a line integral with a double integral. Line Integrals:    • The Line Integral, A Visual Introduction   Divergence and Curl by 3b1b:    • Divergence and curl:  The language of...   For the example at 5:07, the equation of the vector field has the x equation and y equation flipped. It should be F=(-yx + x^3, 6y-9x). Follow Me!   / vcubingx   https://github.com/vivek3141   / vcubingx   Read More: https://brilliant.org/wiki/greens-the... https://mathinsight.org/greens_theore... https://www.khanacademy.org/math/mult... http://tutorial.math.lamar.edu/Classe... #calculus #multivariable #greenstheorem Music by Chillhop: http://chillhop.com/listen This video was animated using manim: https://github.com/3b1b/manim Source code for the animations: https://github.com/vivek3141/videos