Question: To evaluate the following integrals carry out these steps. a. Sketch the original region of integration R in the xy-plane and the new region S

To evaluate the following integrals carry out these steps.


a. Sketch the original region of integration R in the xy-plane and the new region S in the uv-plane 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.


If xy dA, xy dA, where R is bounded by the ellipse

If xy dA, xy dA, where R is bounded by the ellipse 9x + 4y = 36; R use x = 2u, y = 3v.

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