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Consider the Integral ∫03∫−x0f(x,y)dydx\int _ { 0 } ^ { 3 } \int _ { - x } ^ { 0 } f ( x , y ) d y d x

Question 12

Essay

Consider the integral ∫03∫−x0f(x,y)dydx\int _ { 0 } ^ { 3 } \int _ { - x } ^ { 0 } f ( x , y ) d y d x .
(a)Sketch the region of integration and rewrite the integral with order of integration reversed.
(b)Rewrite the integral in polar coordinates.

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