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1. The region bounded by y=x8 and y=sin(πx/2) is rotated about the line x=−7. Using cylindrical...

1. The region bounded by y=x8 and y=sin(πx/2) is rotated about the line x=−7.
Using cylindrical shells, set up an integral for the volume of the resulting solid.

2.The region bounded by y=9/(1+x2), y=0, x=0 and x=8 is rotated about the line x=8.
Using cylindrical shells, set up an integral for the volume of the resulting solid.

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