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Quick question regarding double integrals...

  • 17-11-2008 4:39pm
    #1
    Bijoux
    Closed Accounts Posts: 1,008 ✭✭✭


    Basically, I have to double integrate x^2, with respect to dy and dx.

    I understand the general double integration process, I have looked through all my notes and online to try and find anything relating to such a problem with only one variable in the actual function, but still containing dy and dx.
    I have no idea how to go about doing this without getting zero for an answer (by integrating 0y as well).


    Sorry if this seems confusing, but does anyone have any ideas?
    Any feedback would be greatly appreciated.


Comments

  • #2
    theprodigals0n
    Closed Accounts Posts: 24 ✭theprodigals0n


    In terms of integrating the "y" part you just integrate it as though it's one. Say for example, you're differentiating (x^2)y with respect to y. It just becomes x^2. So when integrating x^2 with respect to y it becomes (x^2)y.

    It's similar if there's no x or y in the integral. If you have a double integral with nothing in it and then the dxdy part it you just treat it as though it's 1.dxdy and then integrate. I hope that clears things up a bit. Obviously afterwards you integrate with respect to the other variable and that's the equation solved.


  • #3
    Bijoux
    Closed Accounts Posts: 1,008 ✭✭✭Bijoux


    theprodigals0n wrote: »
    In terms of integrating the "y" part you just integrate it as though it's one. Say for example, you're differentiaiting (x^2)y with respect to y. It just becomes x^2. So when integrating x^2 with respect to y it becomes (x^2)y. It's similar if there's nothing in the integral. If you have a double integral with nothing in it and then the dxdy part it you just treat it as though it's 1.dxdy and then integrate. I hope that clears things up a bit.

    Brilliant, I understand it now, thanks a million.
    :D


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