# How do you use comparison test to determine is the integral is convergent or divergent given int x / (8x^2 + 2x^2 - 1) dx ?

First of all a think there is a mistake: maybe $8 {x}^{2}$ would be $8 {x}^{3}$,
x/(8x^3+2x^2-1)~1/(8x^2) (~ =asymptotic)
that is a convergent function because it's a generalized armonic series, $\frac{1}{x} ^ \alpha$, with $\alpha > 1$.