For each of the following integrals, set up, but do not evaluate, the integral as a new iterated integral as directed. (a) Consider the iterated integral sin(x2 + 2y) dedy. Make a rough sketch of the region of integration for this iterated integral. Then set up the integral as an iterated integral with the opposite order of integration (i.c. in the order dydr). (b) Let D be the region inside the circle (1 - 1)2 + y2 = 1, to the right of the line x = 1 and below the 3-axis, shown below (shaded). y 1 -1 Set up the double integral //.12 (2y + 3) dA as an iterated integral in polar coordinates.



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