To evaluate the following integral. carry out these steps. a. Sketch the original region of integration R in the xy-plane and the new region S in the uv-piane using the given change of variables. I). 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. I [W dA. Where R is the square with vertices (0.0). (4,4), (8.0), and (4, - 4); use x = 2U + 2v, y = 2u - 2v. R W