$\displaystyle

y= \frac {1}{x^5}~

y=0~

x=4~

x=6~

$

Rotated about the y-axis.

I keep coming up with:

$\displaystyle

\frac {1}{9*6^9} - \frac {1}{9*4^9}

$

I don't know what I am doing wrong. pi*r^2 right (which would be pi*(1/x^5)^2)? So it should just be the integral of:

$\displaystyle

\int_4^6 \frac {1}{x^{10}}~dx

$

Right?