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Area and volume of revolutino

R is the region that lies between the curve (Figure 15.1) and the
x-axis from x = -3 to x = -1. Find:
(a) the area of R,
(b) the volume of the solid generated by revolving R around the y-axis.
(c) the volume of the solid generated by revolving R around the x-axis.

y=1 / x^2+4x+5

Solution Summary

This provides an example of using calculus to find area and volume of revolution.

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