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.

JJx xx + 2y dA, where R R = {(x, y): 0 x 2, -x/2 y 1 x}; use X = 2u, y = vu.