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Double Integral Problem

  • 10-12-2013 10:23am
    #1
    rob w
    Registered Users, Registered Users 2 Posts: 1,201 ✭✭✭


    Can someone help me out with this.....I know its a simple problem, but for some reason I cant get the answer when I integrate with respect to 'x' first. I can reverse the order and integrate with respect to 'y' no problem. Im trying to prove Greens Theorem, and have shown the Line Integral is = -1/10.

    I know that -1/10 is the answer because I have already calculated one side, (and wolfram alpha is telling me the double int. is equal to this too)

    Cant see where Im going wrong!

    Thanks!

    IMG_20131210_101429.jpg


Comments

  • #2
    TheBody
    Registered Users, Registered Users 2 Posts: 5,637 ✭✭✭TheBody


    I only had a minute to look over it, but it seems that you forgot to integrate with respect to y. I think you just popped in the limits without integrating.

    Aside from that, I realise that this may just be rough work, but your exposition isn't great.


  • #3
    rob w
    Registered Users, Registered Users 2 Posts: 1,201 ✭✭✭rob w


    That's it, Thanks. Never integrated with respect to 'y'. Looking at the the thing for so long, I don't know how I didn't see it!

    And yeah it's just rough work scribbled down on a pad at the moment!:o


  • #4
    TheBody
    Registered Users, Registered Users 2 Posts: 5,637 ✭✭✭TheBody


    rob w wrote: »
    That's it, Thanks. Never integrated with respect to 'y'. Looking at the the thing for so long, I don't know how I didn't see it!

    And yeah it's just rough work scribbled down on a pad at the moment!:o

    No problem. Glad I could help!!


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