• Jul 28th 2008, 09:44 PM
eawolbert

Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis.

• Jul 28th 2008, 10:05 PM
Jhevon
Quote:

Originally Posted by eawolbert

Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis.

did you draw a diagram? did you identify the inner and outer radius?

since we are rotating a function of x about a line y = something, we use the disk method. by the disk method, the required volume will be given by:

$V = \pi \int_{-1}^1 \bigg[ (6 - x^4)^2 - 5^2 \bigg]~dx$