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Shell Method to Find Volume about the X-Axis

Use the shell method formula to find the volume of the solid generated by revolving the shaded region bounded by the curves and lines below about the x-axis:

V=∫2π(shell radius)(shell height)dy = ∫2πx f(y)dy a≤y≤b

Shaded region::
x=y²
x= -y
y=2

Solution Summary

This shows how to use the shell method to find the volume.

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