Question

determine the volume of the solid obtained by rotating the region bounded by x=(y-2)^2 and y=x about the line y=-1

Answer 1

well we can apply the formula
\[\pi \int\limits_\int\limits_^{2dy} \]

Answer 2

Then you use disc method?

Answer 3

callisto first we need to take square of equation, integrate it , then put the limits

Answer 4

Would you mind showing the them all? (Sorry, I'm not the asker of this question though)

Answer 5

ok wait

Answer 6

squaring the eq gives, (y-2)^4
now we need to integrate
which gives us \[{(y-2)^5}/5\]

Answer 7

now put the limits -1,0

Answer 8

Sorry, but how do you find limits to be -1, 0?

Answer 9

yeah i guess i should draw the picture