Question: Problem 3 (10 pts, 5 pts each). (a) Let R be the region bounded by the curves x = 2y3 - y? and y =

Problem 3 (10 pts, 5 pts each). (a) Let R be the region bounded by the curves x = 2y3 - y? and y = x2. Set up the integral to find the volume of rotation around the x-axis. Make sure to evaluate this integral. ( 1 1) (a. 05) (-0:045.043133) 42 (b) Let R be the region bounded by the curves x = 2y' - y and y = x2. Set up the integral to find the volume of rotation around the x = -2. Make sure to evaluate this integral. (LI) 02

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