Let R be the rectangle enclosed by the lines y = x, y = x - 2, r +y = 0, and r + y = 3. (i) Give a change of variables u and v and find the image of the rectangle R in the uv-plane using this transformation. (ii) Compute // (r + y)e=²-v°e dA.

With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.