Question

Find the volume using cylindrical shells
y = 2ex, y = 2e−x, x = 1; about the y-axis

Answer 1

I like to start with a rough graph first.
Is your equations really y=2ex, y=2e-x,x=1?

Answer 2

or did you mean y=2e^x,y=2e^(-x),x=1

Answer 3

I meant the second one sorry