Use the transformation u = 2x + 4y, v = x + 3y to evaluate the given integral for the region R bounded by the lines y = -1/2x + 2, y =-1/2 x + 4, y = -1/3x, and y = -1/3x + 2. integral integral _R (x^2 + 5xy + 6y^2)dx dy integral integral _R (x^2 + 5xy + 6y^2)dx dy = __________________