FIND THE CENTROID:
a. of the region enclosed between the curves y=x1/2 ,
y=1, y=2 and the y-axis.
b. of the 1st quadrant area bounded by the curve
y=4-x2
c. of the region bounded by the curve y=x3 and
x=y2
Consider the region R enclosed between the curves y = 2 /x and y
= 1, between x = 1 and x = 2.
Calculate the volume of the solid obtained by revolving R about
the x-axis,
(a) using cylindrical shells;
(b) using washers