Okay, so, I think I am getting the hang of these problems. Would anyone care to check? All we are required to do for the homework is set up the integral.
; about the x-axis
I set up my graph. It is the graph of a parabola with line y=1 going horizontally through it, and x=0. Seeing this, and the fact that it was solved in terms of y, I set up the integral in terms of a R and L volume. Integral is 0 to 1.
I got:
Am I correct?
Shoot, three things I accidentally typed in:
For one, in my absolute value, I meant to put y. Secondly, I also accidentally put 1 for k because of the y=1. Really, though, k=0. Thirdly, it should be |0-y|, not |y-0| If I didn't make three (critical) mistakes, then I would have gotten your second answer.
Thank you!