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Math Help - range

  1. #1
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    range

    given that f(x,y) =30xy^2 for x-1<y<1-x and 0<x<1. find F(0.5,0.5)

    i know that we need to do double integration and i tried to integration from -0.5 to (1-x) dy followed by integration from 0 to 0.5 dx..but my answer was wrong...

    may i know what is wrong with my understanding of this question?

    thanks!
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by alexandrabel90 View Post
    given that f(x,y) =30xy^2 for x-1<y<1-x and 0<x<1. find F(0.5,0.5)

    i know that we need to do double integration and i tried to integration from -0.5 to (1-x) dy followed by integration from 0 to 0.5 dx..but my answer was wrong...

    may i know what is wrong with my understanding of this question?

    thanks!
    \int_{x=0}^{0.5} \int_{y=x-1}^{0.5} f(x,y)\; dydx

    CB
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  3. #3
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    how do you decide that tHe lower limitt for y is x-1 and not jusT -1?does the first integration usually involve a variable?

    sorry im new to this chapter so im still nt sure how im suppose to find the limts.
    thanks.
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  4. #4
    Grand Panjandrum
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    Quote Originally Posted by alexandrabel90 View Post
    how do you decide that tHe lower limitt for y is x-1 and not jusT -1?does the first integration usually involve a variable?

    sorry im new to this chapter so im still nt sure how im suppose to find the limts.
    thanks.
    The range of y is specified in terms of x so y should be the inner integral, leaving x as the outer integral.

    CB
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  5. #5
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    if i want to find F(o.5,2)

    would the double integral be from x-1 to 1-x for dy and then followed by x=0 to 0.5 for dx?

    thanks!
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