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a.) Let S be the solid obtained by rotating the region bounded by the curves y=x(x−1)^2...

a.) Let S be the solid obtained by rotating the region bounded by the curves y=x(x−1)^2 and y=0 about the y-axis. If you sketch the given region, you'll see that it can be awkward to find the volume V of S by slicing (the disk/washer method). Use cylindrical shells to find V

b.) Consider the curve defined by the equation xy=12. Set up an integral to find the length of curve from x=a to x=b. Enter the integrand below

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