3 3 Use the transformation u = 3x + 4y, v = x + 3y to evaluate the given integral for the region R bounded by the lines y = -x +3, y = -x --x+4, 4 1 1 y = -x, and y = -x + 3. R (3x² + 13xy + 12y²) dx dy (3x²+ 13xy + 12y²) dx dy = ¯ R (Simplify your answer.)

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