Integral of 1/[(x^5)(9x^2-1)^(.5)] dx from sqrt(2)/3 to 2/3.

everyway i try it, it seems to be wrong!! i have been doing this problem for hours! i need help

here is my work: http://i198.photobucket.com/albums/a...n/scan0002.jpg

http://i198.photobucket.com/albums/a...scan0003-1.jpg

also I am not sure if #15 on the second link is correct either.