Set up an integral for the volumes of the molids ditained by rotating the region howaled by the carves
y=x
and
y=x^(2)
about the given lines. You do not need to evaluate the integral. Draw the given rogion in the plane. For each problem, sletch the volume of the solid of recolation, and highlight owe slice of that rolume, shouing its width and its rodius. (a) the
x
-axis 11 (b) the y-axis (c) the line
y=2

Question

Set up an integral for the volumes of the molids ditained by rotating the region howaled by the carves

y=x

and

y=x^(2)

about the given lines. You do not need to evaluate the integral. Draw the given rogion in the plane. For each problem, sletch the volume of the solid of recolation, and highlight owe slice of that rolume, shouing its width and its rodius. (a) the

x

-axis 11 (b) the y-axis (c) the line

y=2

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