[Solution Library] Evaluate the integral that gives the volume of the solid formed by revolving the region y=4-x^2, xin [ 0,2 ] about the x
Question: Evaluate the integral that gives the volume of the solid formed by revolving the region \(y=4-{{x}^{2}}\), \(x\in \left[ 0,2 \right]\) about the x -axis.
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![[Solution Library] Use the shell method to](/images/solutions/MC-solution-library-50727.jpg "[Solution Library] Use the shell method to set up and evaluate the integral")
[Solution Library] Use the shell method to set up and evaluate the integral
(Step-by-Step) Use the shell method to set up and evaluate the
![[Solution Library] Use the shell method to](/images/solutions/MC-solution-library-50729.jpg "[Solution Library] Use the shell method to set up and evaluate the")
[Solution Library] Use the shell method to set up and evaluate the
![[Solution Library] Use the shell method to](/images/solutions/MC-solution-library-50730.jpg "[Solution Library] Use the shell method to find the volume of")
[Solution Library] Use the shell method to find the volume of
![[Solution Library] Use the disk or shell](/images/solutions/MC-solution-library-50731.jpg "[Solution Library] Use the disk or shell method to find the volume of the")
[Solution Library] Use the disk or shell method to find the volume of the
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