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1. (10 points) Consider the ite double integral
∫ 1 ∫ 1
I =
0
√
1−y
cos(x
3) dxdy.
(a) Sketch the region of integration.
(b) Evaluate the double integral by reversing order of integration.
2. (10 points) Evaluate the triple integral
∫∫∫
D
xdV
where D the solid region in the first octant bounded by the parabolic cylinder
z = x
2 and the plane y + z = 1.
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