I have $y=|x|+1, 2x+3y=6\text{ about }x=-20.$
I need to set up an integral (but not evaluate it) that will give the volume of the solid when the region enclosed by those curves is revolved about the given line. I have to use either the shell or washer's method.
I have been trying to use the shell method (I think) but I am having trouble setting up the integral. How do I figure out the bounds for it? I'm not sure how I get the numbers for "top" and "bottom" either. I solved for y in the $2x+3y=6$ equation and got $y=-(2/3)x+2$ but how do I know where that belongs in the integral?
Thank you for any help