## Calculus: Early Transcendentals 8th Edition

Convergent for $p\lt -1$.
$\int_{1}^{\infty}x(1+x^{2})dx=\int_{2}^{\infty}\frac{1}{2}u^{p}du=\frac{1}{2}(\infty^{p}-2^{p})$ which is convergent for $p\lt -1$.