math
posted by sonia .
Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis.
y=1/x^2 y=0 x=4 x=7;
about y=–3
i integrated and plugged in values for x and got .61 *pi this is not the right answer been trying for hours please help!

You're close, perhaps it's a matter of numerical errors.
Can you show your work?
Did you start with:
A=2π∫4:7∫0:1/x²[3+y] dy dx
I got 0.6471π