Question

washer method dy
Find the volume when the region is rotated about the y axis.

Answer 1

\[y=\pm \sqrt{x}\]
y=x-2

Answer 2

can someone check my set up please

Answer 3

So far so good

Answer 4

\[\pi \int\limits_{0}^{2}[(y+2)^2-(y^2)^2]dy+\pi \int\limits_{-1}^{0}[(y+2)^2-(y^2)^2]dy\]

Answer 5

That's correct, though you could consolidate the limits of the integrals.

Answer 6

so I can do it from -1 to 2 and just write one integral?

Answer 7

Yes, the integrand is the same so you can combine the limits into one interval.

Answer 8

can you double check my other two set ups, please

Answer 9

Sure

Answer 10

ok give me a second to write it down and type it in.
I am doing rotated about x=4