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Consider the sum of double integrals Z1 1/√2Zx √1−x2 xy dy dx +Z√2 1 Zx 0...

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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