Which of the following integrals will find the volume of the solid that is formed when the region bounded by the graphs of y = e^x, x = 1, and y = 1 is revolved around the line y = -2.

Question

Question options:

1)
2)
3)
4)

Answer 1

The answer is 4).

The radius that e^x rotates is (e_x +2) which is a curved triangular area that lies a distance of 3+ above the line y=-1. And you have to subtract the solid area of radius 3 from (e^x +2), as when x=0, e⁰ =1 which makes it the radius of 3.