Volume of the solid generated

Calculus Level 2

Find the volume of the solid generated when the region between

the graphs of the equations f ( x ) = 1 2 + x 2 f(x)=\frac{1}{2}+x^2 and g ( x ) = x g(x)=x over the interval [ 0 , 2 ] [0, 2] is revolved about the x x -axis.


The answer is 21.67698931.

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