1.

Use the given transformation to evaluate the integral. (2x2 - 3xy + 2y2) dA, where R is the region bounded by the ellipse 2x- - 3xy + 2y- = 2; x = \\20 - 2/7v, y = V2u + 2/7VUse the given transformation to evaluate the integral. 5y2 dA, where R is the region bounded by the curves xy = 3, xy = 5, xy2 = 3, xy? = 5; u = xy, v = xy2 Illustrate by using a graphing calculator or computer to draw R. y y 2.0 2.5 4 2.0 1.5 3 1.5 3 1.0 1.0 2 2 0.5 1 0.5 1 O 2 4 6 X 8 10 12 0.5 1.0 1.5 X 2.0 2.5 3.0 AO 2 X 4 6 8 0.5 1.0 1.5 X 2.0 2.5 3.0 AEvaluate the given integral by making an appropriate change of variables. Dy ddA, where R is the parallelogram enclosed by the lines x - 6y = 0, x - 6y = 9, 7x - y = 1, and 7x - y = 8 7x - yEvaluate the integral by making an appropriate change of variables. 5 cos 9 (y - X dA where R is the trapezoidal region with vertices (1, 0), (7, 0), (0, 7), and (0, 1) y + XEvaluate the integral by making an appropriate change of variables. /] Te3x + 3" cm, where R is given by the inequality 3|x| + 3 |].r| E 3 R