Question

Find the Volume: y=sqrt(x+2), y=x, y=0, revolved around the x-axis using the shell method

Answer 1

@dumbcow if you could help please! :)

Answer 2

ok sorry about wait, this one was tripping me up for a bit
sometimes i would rather use washer method

anyway looks like you need to split it into 2 separate integrals
find volume of parabola part, then subtract volume of triangular part



\[V = 2\pi \int\limits_0^2 y(4-y^{2}) dy - 2\pi \int\limits_0^2 y(2-y) dy\]