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In Exercises 19-24, find the volume of the solid generated by revolving the region bounded by
the graphs of the equations about the x-axis.
Solution
Area = Integral(ydx) from x= 0 to 3 = int[1/sqrt(1+x) dx] from x= 0 to 3 = 2
sqrt(1+x) from x = 0 to 3 = 2 [sqrt(4) - sqrt(1)] = 2 Volume when rotated along x axxis = Area *
2 *pi = 2*2*pi = 4pi

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