Double integral 1 | Double and triple integrals | Multivariable Calculus | Khan Academy

Introduction to the double integral

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Multivariable Calculus on Khan Academy: Think calculus. Then think algebra II and working with two variables in a single equation. Now generalize and combine these two mathematical concepts, and you begin to see some of what Multivariable calculus entails, only now include multi dimensional thinking. Typical concepts or operations may include: limits and continuity, partial differentiation, multiple integration, scalar functions, and fundamental theorem of calculus in multiple dimensions.

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34 Responses

  1. 何生 at |

    Help a lot for me. Thanks!

  2. vivek rana at |

    God the effort you put in. Thanks a lot for that. You are changing the lives of millions of people by providing quality education for free. I scored well by watching your videos. I could not donate at this moment as I am a student. But I will definitely denote to your organization when I will start earning. Again thanks a lot for your effort.

  3. notmuchwear at |

    I love your work so much. Can someone do me a favour please? Between 3:19 and 3:52 is shown a 3D image of a surface. Could you or someone else tell me please what is the function of this surface.

  4. rias gremory at |

    The comment section make me nt concentrating hahahaha

  5. Joan Conejos Jalencas at |

    Lol it's only in 240 p xD

  6. mohamed mohamed badar at |

    أكتب الطرجمة بالعربية من فضلك

  7. ANIL KUMAR at |

    Nice sir

  8. Josh Parkin at |

    Thanks so much!

  9. Zubair Khan at |

    Too beautifully explained…
    Always rocking.

  10. Punith V H Puni at |

    After I seeing this video I remember the thought of Einstein, that is "if you can't explain it simply ,then you don't understand it well enough ",sir u explained in simple manner, thanks sir🙏👍

  11. Rounaque Azam at |

    Best teaching i have ever seen

  12. Samarth Badkur at |

    amazing explanation

  13. PHOTON at |

    that was an amazing explanation!!

  14. Harold H at |


  15. G0tBlackOps at |
  16. Brandon Ignacio at |

    Could a double integral also be described as the "mass" or something related to the mass of an object in 2-dimensions? Does this hold true for triple integrals as well? If so would the integrand be a density function?

  17. Nitin Mishra at |

    Wow it was awesome video my whole confusion got cleared thanks Khan academy

  18. Nikhil More at |

    Why answer is negative sometimes though it's a volume?

  19. Sanjay Sahu at |

    Please sir this videos also available in hindi

  20. Boody at |

    really you are the best

  21. Allan Kálnay at |

    8:04 why do you say that width is gonna be dx? I dont really understand what you mean by that at this moment. Please explain it to me

  22. Darry Andrews at |

    not now.

  23. JIA ABHIRAAJ at |

    the explanation was soooo good . thank you sir

  24. anonymous traveller at |

    Water always finds a way to flow , khan you are that water , bringing free education.

  25. Sanjeev Kumar at |

    wow thanks ..!! it was really getting itchy with my brain uptil now.!! thanks again

  26. Md Sajjad Alam at |

    just ultimate

  27. srayes1001 at |

    Is the first integral(inside integral) like a ghost integral cos it can "vary"???

  28. Hanh Vo at |

    very understandable compared to the larson textbook
    Basically volume of a solid rectangular = LHW=f(x,y)dxdy

  29. Gabriel Mello at |

    Excelent explanation.

  30. Subarna Subedi at |

    Why do we use ds in line integral and dx here for area of one sheet ds=small arc lenght of curve dx=small change in x

  31. ankit yadav at |

    I almost cried when i saw how logically and beautifully everything is explained in this video.

  32. itachi Theonlylegend at |

    thank you. I understood double integral now

  33. cooking shooking at |

    you dont explain well because you yourself is confused

  34. geen naam at |

    This just made so much sense…..