A) Find the area of the region enclosed by the
parabola and the line
B) Write down an integral to compute the volume of the solid
obtained by rotating the region below the curve about the y-axis.
You do not need to evaluate the integral.
C) Write down an integral to compute the volume of the solid
obtained by rotating the region below the curve about
the x-axis. You do not need to evaluate the integral.
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