- #1
Potatochip911
- 318
- 3
Homework Statement
Find the volume generated by
x=0
x=π
y=2sin(x/2)
y=sin(x)
using the shell method.
Homework Equations
x=2arcsin(y/2)
x=arcsin(y)
The Attempt at a Solution
So to setup my integral I got the following values,
Outer Radius=(2-arcsin(y))
Inner Radius=(2-2arcsin(y/2))
I'm pretty sure outer/inner radius is for the shell method so I was thinking a way to get around this would be by setting up two different integrals to get the volumes and then subtracting the smaller one from the larger one.
I'm stuck at finding out the length because for length I have
L=π-x
I'm confused as to which function I should to use here or is this similar to the outer/inner radius where I use them separately for their respective integrals?