Consider the sum of double integrals Z1 1/√2Zx √1−x2 xy dy dx
+Z√2 1 Zx 0
xy dy dx +Z2 √2Z√4−x2 0
xy dy dx .
a. [4] Combine into one integral and describe the domain of
integration in terms of polar coordinates. Give the range for the
radius r. b. [4] Compute the integral.
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