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

2. 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:

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