- #1

- 10

- 0

## Homework Statement

How do you find the volume of the solid obtained by rotating the region bounded by the given curves about the specified lines?

I keep getting a negative number and I"m becoming so frustrated! 11pi/30 is the answer in the textbook. Thank you so very much in advance!

## Homework Equations

y=x^2

x=y^2

about y=1

## The Attempt at a Solution

Area:

pi[(1-x^2)^2 - (1-x^(1/2))^2)]

Integral:

pi[1-2x^2+x^4-1+2x^(1/2)-x) between x=0 and x= 1

Antiderivative:

pi[(1/5x)^5-(2/3)x^3 + (2/3)x^(3/2)-(1/2)x^2]

Soln:

pi((2/10)-(5/10)) = -3pi/10??

Last edited by a moderator: