I just want to know if my final answer is correct since I don't have the solution for it.

$\displaystyle \int\frac{\sqrt{x} - 2x^2}{x} dx$

I obtained: $\displaystyle \frac{2x^\frac{3}{2}}{3}lnx - \frac{2x^3}{3} + C$

Also, I need some help figuring out this integral:

$\displaystyle \int x(x^2 + 1)^5 dx$ It is continuous from 0 to 1.