Math Is Fun Forum

Danbee

Member

Registered: 2008-08-28

Posts: 21

Application of definite integrals

Find the volume of the solid generated by revolving the region bounded by the parabola y=x²  and the line line y=1

a. about the line y=1
b.about the line y=2
c. about the line y=-1

Danbee

Member

Registered: 2008-08-28

Posts: 21

Re: Application of definite integrals

I solved it this way but got the wrong answer.

π∫_(-1)^1▒〖1-x^4 〗 dx=8π/5

Danbee

Member

Registered: 2008-08-28

Posts: 21

Re: Application of definite integrals

Or rather the statement I made is

π∫_(-1)^1▒(1-x^2 )^2  dx=8π/5  but that is not the right answer ofr the (a) part of the question. I wonder where I got it all wrong.