How do you find the volume bounded by y=e^x and the lines y=0, x=1, x=2 revolved about the y-axis?

1 Answer
Nov 6, 2016

Volume=pi/2(e^4-e^1)

Explanation:

According to second theorem of Guldino, volume obtined by a rotation of a section bounded by a function f(x) and the xaxis between a and b is V=piint_a^bf^2(x)dx.

In our case, we have V=piint_1^2e^(2x)dx=pi/2(e^4-e^1).