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## Homework Statement

Okay so the problem is asking simply for a proof for convergence /divergence of the following indefinite integral:

∫(x*sin

^{2}(x))/(x

^{3}-1) over [2,∞)

## Homework Equations

I know I can use substitution method

## The Attempt at a Solution

Okay so I know if i factorize the bottom part of the integral I get:

∫(x*sin

^{2}(x))/(x-1)(x-1)(x

^{2}+x+1).

Now obviously I am not sure if this a very elemetary problem or indeed quite challenging. I have tried substituion making u = (x

^{3}-1) but than didn't really work... Not sure what else I should try