1. Answer Following Questions, Show work, clear hand writing, thank you
a. Set up (i.e. DO NOT SOLVE) an integral to find the volume of the solid obtained when the given region is rotated about the given axis. The region bounded by y = 2x^2 and y = 2x^3 about the line x = −1
b. get the general antiderivative of f(x) = (x^2)*(e^−x)
c. Find the length of the polar curve r = 2cosθ
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