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Double integrals: reversing the order of integration

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Uploaded by on Nov 19, 2008

I discuss and solve an example where a double integral is evaluated. The technique invovles reversing the order of integration. Such an example is seen in 1st and 2nd year university mathematics.

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Uploader Comments (DrChrisTisdell)

  • Thanks a lot! Really good explanation.

  • @AdeliLadyOFWinds My pleasure.

  • Peripheral question: can the practice of changing the order of integration be extended to triple or even higher orders of integral? I imagine this would require one to be VERY careful about one's new limits.

  • @jsm666 Yes, it can be done with triple integrals but it is slightly more challenging. I hope to post some videos about this technique for triple integrals in the future!

  • Hi Chris, I am not quite sure why after reversing the integral, y lies between 0 and x, why does it not lie between 0 and 1? Thanks

  • @cd2k85 If that was the case then you'd be integrating over a square, not a triangle. Can you see why?

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  • Great explanation. I've ploughed through a number of videos on this topic and your video was the only one that finally made things click.

  • Brilliant!

  • thank you so much! when you said that you switch which sides had the 2 parallel lines, that is when everything clicked for me. You just saved my grade on my exam which is in less then an hour :)

  • You are wonderful at explaining this. Thank you so much.

  • Thanks again Dr. Tisdell! I learn more from you then my calc professor.

  • u saved me from Detention sir, i owe you :) :D

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