How do you determine if the improper integral converges or diverges int (x^3 + x)/((x^4 + 2x^2 + 2)^(1/2))dx from 1 to infinity?

${\int}_{1}^{\infty} \frac{{x}^{3} + x}{{x}^{4} + 2 {x}^{2} + 2} ^ \left(\frac{1}{2}\right) \mathrm{dx}$ diverges to $\infty$.