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1 -1 O 1 2 x FIGURE 3. Figure for Problem 6. 6. (4 pts) Consider...

1 -1 O 1 2 x FIGURE 3. Figure for Problem 6. 6. (4 pts) Consider the double integral 2 Spa (22 + y)da = [ L. (x2 + y) dx dy +

1 -1 O 1 2 x FIGURE 3. Figure for Problem 6. 6. (4 pts) Consider the double integral 2 Spa (22 + y)da = [ L. (x2 + y) dx dy + √2-y² (x2 + y) dx dy. (a) Sketch the region of integration R in Figure 3. (b) By completing the limits and integrand, set up (without evaluating) the integral in polar coordinates. Sep (+2 +y)dA = dr do.
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similarly we Again, Oz - Therefore, 02 2 t + Os 77/ 71 2 T 4 2 17t t 3 t 4. 4 Then the integration becomes (52 482a + r sino)

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