Find the volume of the solid obtained by rotating the region bounded by the linesy=x+1,y=5,x=0 using diskwasher and shell about (a) the line x=5 and (b) the liney=5.Draw the regions specified below. Find the area, the volume when the area is rotated aboutthe y-axis and the area is rotated about the x-axis. For volume, specify the name method used.(a)y=82x+5,y=0,x=0,x=5.(b)y=82x+5,y=15,x=0,x=5.Evaluate the integral x3x2-1dx using (a)u-substitution, (b) partial fraction expansion.The table shows values of a force function f(x), where xis measured in meters and f(x)in newtons. Use the left Riemann sum and the midpoint rule with n=4to estimate the work