Posted by **Becca** on Tuesday, January 24, 2012 at 12:59pm.

Find the volume of the solid generated by revolving the following region about the given axis. The region in the first quadrant bounded by the curve y=x^2, below by the x-axis, and on the right by the line x=1, about the line x=-2

- Calculus -
**Steve**, Tuesday, January 24, 2012 at 1:40pm
Using shells,

v = Int(2πrh dx)[0,1]

where

r = x+2

h = y = x^2

2π*Int((x+2)x^2 dx)[0,1]

2π*Int(x^3 + 2x^2 dx)[0,1]

= 2π(1/4 x^4 + 2/3 x^3)[0,1]

= 2π(1/4 + 2/3) = 11π/6

## Answer this Question

## Related Questions

Math - Find the volume of the solid generated by revolving the following region ...

calculus - Find the volume of the solid generated by revolving the region about ...

calculus - Find the volume of the solid generated by revolving the region about ...

MATH - Find the volumes of the solids generated by revolving the region in the ...

Calculus - The following are about an infinite region in the 1st quadrant ...

Calculus - The following are about an infinite region in the 1st quadrant ...

poly - the volume of the solid generated by revolving infinite region bounded by...

Calculus - Find the volume of the solid generated by the region in the first ...

calculas - find the volume of the solid generated by revolving the region about ...

calculus - 1. Let R be the region in the first quadrant enclosed by the graphs ...