9. \( \int\left(5-x^{3}+x\right) d x= \) 10. \( \int\left(x^{2}+2 \sqrt{x}\right) d x= \)

To solve the integral \( \int(5 - x^{3} + x) dx \), you can integrate each term separately. The result is \( 5x - \frac{x^{4}}{4} + \frac{x^{2}}{2} + C \), where \( C \) is the constant of integration. For the integral \( \int(x^{2} + 2\sqrt{x}) dx \), first notice that \( \sqrt{x} = x^{1/2} \). Integrating gives you \( \frac{x^{3}}{3} + \frac{4}{3}x^{3/2} + C \). Always remember to replace the original variable for a complete answer!