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Integrals in Mathematica and the Wolfram Language
ππΌππ ππππ? https://snu.socratica.com/mathematica To be notified of when our first Pro Course "Mathematica Essentials" is available, join our mailing list at: https://snu.socratica.com/mathematica In this video, we introduce how integrals are used in Mathematica and the Wolfram Language. Using the Integrate function, you can create both definite and indefinite integrals, and there's a handy popup widget that helps with formatting. We show you useful keyboard shortcuts, too. You can get a numeric approximation for definite integrals using the NIntegrate function. Double Integrals, Triple Integrals, and even higher order integrals are no problem for Mathematica. Thank you to our VIP Patreon Members who helped make this video possible! Robert Fulbright, Marko Popovic, Scott Dreblow, Marcos Silveira, Christopher Kemsley, Philip Rice, Eric Eccleston, Jeremy Shimanek, Michael Shebanow, Kavon Johnson, Alvin Khaled, Kevin B, John Krawiec, Umar Khan, MdeG, Carlos Araujo, and Tracy Karin Prell. ✷✷✷ MATHEMATICA ESSENTIALS by Socratica Integrals 0:00 Intro to Integrals 0:34 Integrate function and Indefinite Integrals 1:06 Adding the Constant of Integration 1:43 Integrate function and Definite Integrals 2:28 Basic Math Assistant Palette Popup 2:49 Keyboard Shortcuts 4:11 Approximate values for Definite Integrals 4:50 Integrating over multiple dimensions ✷✷✷ We recommend the following (affiliate links): The Wolfram Language https://amzn.to/3D4jqvz The Mythical Man Month - Essays on Software Engineering & Project Management http://amzn.to/2tYdNeP Innumeracy: Mathematical Illiteracy and Its Consequences http://amzn.to/2ri1nf7 Mindset by Carol Dweck https://amzn.to/2q9y8Nj How to Be a Great Student (our first book!) ebook: https://amzn.to/2Lh3XSP Paperback: https://amzn.to/3t5jeH3 Kindle Unlimited: https://amzn.to/3atr8TJ ✷✷✷ If you find our work at Socratica valuable, please consider becoming our Patron on Patreon! https://www.patreon.com/socratica If you would prefer to make a one-time donation, you can also use Socratica Paypal https://www.paypal.me/socratica ✷✷✷ Written & Produced by Michael Harrison & Kimberly Hatch Harrison Edited by Megi Shuke About our Instructors: Michael earned his BS in Math from Caltech, and did his graduate work in Math at UC Berkeley and University of Washington, specializing in Number Theory. A self-taught programmer, Michael taught both Math and Computer Programming at the college level. He applied this knowledge as a financial analyst (quant) and as a programmer at Google. Kimberly earned her BS in Biology and another BS in English at Caltech. She did her graduate work in Molecular Biology at Princeton, specializing in Immunology and Neurobiology. Kimberly spent 16+ years as a research scientist and a dozen years as a biology and chemistry instructor. Michael and Kimberly Harrison co-founded Socratica. Their mission? To create the education of the future. ✷✷✷ Welcome to Socratica! We make SMART videos focusing on STEM - science, math, programming. Subscribe here: http://bit.ly/SocraticaSubscribe PLAYLISTS Study Tips http://bit.ly/StudyTipsPlaylist Python programming http://bit.ly/PythonSocratica SQL programming http://bit.ly/SQL_Socratica Chemistry http://bit.ly/Chemistry_Playlist Abstract Algebra http://bit.ly/AbstractAlgebra Astronomy http://bit.ly/AstronomySocratica Biology http://bit.ly/BiologySocratica Calculus http://bit.ly/CalculusSocratica Geometry https://bit.ly/GeometrySocratica Mathematica http://bit.ly/SocraticaMathematica #Mathematica #Wolfram #WolframLanguage
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