Find the volume of the solid obtained by rotating the region enclosed by the graphs about the given axis...

Question

y = x², y = x^1/2, about x = −2

Answer 1

the shape is ring-like, with one end wider then the other, and the edges sharp.

r(inside) = x^2+2

r(outside) = sqrt(x)+2

int(Pi(*ro^2-ri^2))dx x=0..1

Pi*int((sqrt(x)+2)^2-(x^2+2)^2)dx

Pi(int(x+4sqrt(x)+4-x^4-4x^2-4)dx

Pi*int(-x^4-4x^2+x+sqrt(x))dx

i leave the rest to you

I would like to offer tutoring to you.