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Math Help - Evaluate triangular region...

  1. #1
    Junior Member
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    Evaluate triangular region...

    ∫∫y^3 dA, where D is the triangular region with vertices
    D
    (0,0),(3,1) and (-2,5).
    thankyou!
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  2. #2
    Math Engineering Student
    Krizalid's Avatar
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    Make a sketch, that's all, only then you'll be able to set up the double integral.
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  3. #3
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    i understand, but the problem was that i was confused in how to set up the double integral. thankyou.
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  4. #4
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    Do i need to seperate into two different integrals?
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  5. #5
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    Yes: I=\int_{-2}^{0}\int_{f_1(x)}^{f_2(x)}y^3 dydx+\int_{0}^{3}\int_{f_3(x)}^{f_2(x)}y^3 dydx

    where f_1, f_2, f_3 are just the equations of the lines making up the triangle. You can figure out which line is what right?
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