I'm having serious trouble with this one. please help me.
Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis.
y=x^4,y=1 about y=6
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:
$\displaystyle V = \pi \int_{-1}^1 \bigg[ (6 - x^4)^2 - 5^2 \bigg]~dx$