Question: To evaluate the following integrals carry out the following steps. a. Sketch the original region of integration R and the new region S using the

To evaluate the following integrals carry out the following steps.


[[xx + 2y dA; R = {(x, y): 0 x 2, R


a. Sketch the original region of integration R and the new region S using the given change of variables.


b. Find the limits of integration for the new integral with respect to u and v.


c. Compute the Jacobian.


d. Change variables and evaluate the new integral.

[[xx + 2y dA; R = {(x, y): 0 x 2, R -x/2 y 1-x}; ; use x = 2u, y = v- u.

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