Sunday

March 29, 2015

March 29, 2015

Posted by **TJ** on Sunday, March 22, 2009 at 6:04pm.

1. y= x squared + 2, x = negative 1, x = 1 about y = 1.

- AP Calculus -
**Reiny**, Sunday, March 22, 2009 at 10:55pmyou will get the same solid if you rotate y = x^2 + 1 about the x-axis.

then volume

= [integral] pi(y^2)dx from -1 to 1

or

= 2pi[integral](x^2+1)^2 dx from 0 to 1

= 2pi[integral](x^4 + 2x^2 + 1) dx from 0 to 1

= ...

this is quite easy to integrate and finish.

**Answer this Question**

**Related Questions**

Calculus volume stuff - Find the volume of the solid obtained by rotating the ...

CALCULUS MAJOR HELP!!!!!! - Find the volume of the solid obtained by rotating ...

Calculus - This problem set is ridiculously hard. I know how to find the volume ...

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

calculus - Sketch the region bounded by the curves y = x^2, y = x^4. 1) Find ...

Calculus I don't understand - Find the volume of the solid obtained by rotating ...

Calculus - a) Find the volume formed by rotating the region enclosed by x = 6y ...

integral Calculus - The region in the x-y plane bounded by the curve y=x^2, the ...

Calculus - Let R be the square region bounded by y = 2, x = 2, and the x and y-...

calculus - Find the volume of the solid generated by revolving about line x = -4...