∫∫y^3 dA, where D is the triangular region with vertices D (0,0),(3,1) and (-2,5). thankyou!
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Make a sketch, that's all, only then you'll be able to set up the double integral.
i understand, but the problem was that i was confused in how to set up the double integral. thankyou.
Do i need to seperate into two different integrals?
Yes: $\displaystyle I=\int_{-2}^{0}\int_{f_1(x)}^{f_2(x)}y^3 dydx+\int_{0}^{3}\int_{f_3(x)}^{f_2(x)}y^3 dydx$ where $\displaystyle f_1, f_2, f_3$ are just the equations of the lines making up the triangle. You can figure out which line is what right?
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