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Consider the region bounded by the graphs of f (x) = x2 + 1 and g(x) = 3 - x^2 . a) Write the integral
Consider the region bounded by the graphs of f (x) = x2 + 1 and g(x) = 3 - x^2 .
a) Write the integral for the volume of the solid of revolution obtained by rotating this region about the x-axis. Do not evaluate the integral.
b) Write the integral for the volume of the solid of revolution obtained by rotating this region about the line x = 3. Do not evaluate the integral.
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