integrate 1/((x^5)*sqrt(9*x^2-1))

integrate 1/((x^5)*sqrt(9*x^2-1))

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I've gotten pretty far I think,
set x= 1/3 sec(U)

then I got to the point where I had
\[81 \int\limits_{}^{} (\cos(x))^4 dx\]

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