Evaluate the integral using Integration by Parts as the first steI

${\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}{x}^{2}ln(x^2+7)dx$

$($Express numbers in exact form. Use symbolic notation and fr into $C$ as much as possible.$)$

${\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}{x}^{2}ln(x^2+7)dx=$

$$