Integrals in Mathematica & Wolfram Language

Mathematica Essentials - the first PRO COURSE from Socratica

Learn along with free Mathematica notebooks available on github:

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.

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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

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We recommend the following (affiliate links):
The Wolfram Language

The Mythical Man Month - Essays on Software Engineering & Project Management

Innumeracy: Mathematical Illiteracy and Its Consequences

Mindset by Carol Dweck

How to Be a Great Student (our first book!)

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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.

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PLAYLISTS

#Mathematica #Wolfram #WolframLanguage

[Socratica]

Mathematica Essentials - the first PRO COURSE from Socratica

[NochSoEinKaddiFan]

Wolfram Alpha and everything about it is absolutely fascinating and imperssive

[rajexecutivemoreedthaniasi]

So called Tech ML, AI, NLP very much need all these

[lilylzrner]

Hello this video's great ! Do you have one on how to write complex numbers and limited developpements ? I haven't find one

[kirbymarchbarcena]

Looks like I need to learn more about these

[xduqjue]

Thank you so much for this video. I have a question that how do we integrate a given function "n" times. For example: I want to integrate f(x)= x^n, "n" times to get generalized answer.

[bltnbros]

and how can i see the steps ? is possible ?

[iamjimgroth]

I would appreciate videos that explain math concepts like this, without mathematica.