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Currently Playing: Green's Theorem, explained visually

Support me on Patreon! https://patreon.com/vcubingx This video aims to introduce green's theorem, which relates a line integral with a double integral. Line Integrals: https://youtu.be/dnGDmZynvYY Divergence and Curl by 3b1b: https://youtu.be/rB83DpBJQsE 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! https://instagram.com/vcubingx https://github.com/vivek3141 https://twitter.com/vcubingx Read More: https://brilliant.org/wiki/greens-theorem/ https://mathinsight.org/greens_theorem_idea https://www.khanacademy.org/math/multivariable-calculus/greens-theorem-and-stokes-theorem/greens-theorem-articles/a/greens-theorem http://tutorial.math.lamar.edu/Classes/CalcIII/GreensTheorem.aspx #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