In: Math
Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the x-axis.
y =
| 1 | ||
|
y = 0
x = 0
x = 7
we are given functions as




it is rotated about x-axis
so, we can use disc method

bound is from 0 to 7


now, we can set up integral


we can use u-subs
u=3x+5
du=3dx



now, we can plug bounds
and we get

..........Answer