5cCalculate the following double integrals using the indicated change of variables (Jaco-bian): -(c) y(x − y)dA, where x = u+v, y = u and R is bounded by y = 0, y = 3,x=y, and xy+4.Note, before calculating the double integrals, you need to calculate the Jacobian, thedeterminant of the Jacobian, and sketch the region R to help you determine the limitsfor u and v.

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Step 1: Sketch the Region RDraw the x and y axes.Draw the horizontal line y = 0 (x-axis).Draw the…

- (c) y(x − y)dA, where x = u+v, y = u and R is bounded by y = 0, y = 3, x=y, and xy+4. Note, before calculating the double integrals, you need to calculate the Jacobian, the determinant of the Jacobian, and sketch the region R to help you determine the limits for u and v.