Use the transformation u = 4x + 3y, v=x+ 3y to evaluate the given integral for the region R bounded by the lines 4 (+2, y = 4 -x+ 3, у%3D 1 —х, and y %3D 1 X+2. 3 y = + 15xy + 9y) dx dy R I| 4x2 +...

Use the transformation

to evaluate the given integral for the region R bounded by the lines

Extracted text: Use the transformation u = 4x + 3y, v=x+ 3y to evaluate the given integral for the region R bounded by the lines 4 (+2, y = 4 -x+ 3, у%3D 1 —х, and y %3D 1 X+2. 3 y = + 15xy + 9y) dx dy R I| 4x2 + 15xy + 9y) dx dy = R (Simplify your answer.)