I am having a bit trouble with a question about rotational volume. So, this is the problem:
"An area R in the xy plane is given by:
0 ≤ x ≤ 1
0 ≤ y ≤ x3
Find the volume when rotating R around the axis y = -1"
Here is how I was thinking. First, I drew this figure:
My idea was to draw the boundaries, and two radius in red, which I need to find in order to use the washer method. So, I thought the lower boundary must be r(y) = g(y) - c = x3 - (-1) = x3 + 1 (The second red line in the picture)
But I am unsure what I should put as the upper boundary (The first radius in the picture).
I hope someone can help and tell me in what way I am thinking wrong.