Find the volume of the solid obtained by rotating the region bounded by y=6sin(7x 2
),y=0,0≤x≤ 7
π
​
​
about the y axis. y=1/x 3
,y=0,x=2,x=7 about the y-axis. The region bounded by y=4/(1+x 2
),y=0,x=0 and x=9 is rotated about the line x=9. Using cylindrical shells, set up an integral for the volume of the resulting solid. The limits of integration are: a=
b=
​
and the function to be integrated is: