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Math Help - Calculus, double integral problem

  1. #1
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    Calculus, double integral problem

    Hey there I need some help with this problem.

    Let f be continuous on [a,b] and g continuous on [c,d]. Show that:

    Calculus, double integral problem-problem.png

    where R = [a,b] X [c,d]


    Please explain each step so that I can understand this problem better thanks!
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  2. #2
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    Re: Calculus, double integral problem

    Hey gfbrd.

    Hint: Try integrating out one of the variables (either x or y) and bring this constant outside the final integral (which will be with respect to the other variable). Once you do this, substitute the old integral in for the constant and you are done.

    So as an example Integral Integral f(x)g(y)dxdy = c*Integral g(y)dy. What is c in terms of the integral of f(x)dx?
    Thanks from gfbrd
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  3. #3
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    Re: Calculus, double integral problem

    Edit: hahha nevermind! I figured it out thanks!
    Last edited by gfbrd; April 6th 2013 at 06:08 PM.
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  4. #4
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    Re: Calculus, double integral problem

    If you integrated out for example f(x)dx over some range you will get F(b) - F(a) as your constant c.
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