IMathAS-libretexts

Integrate the following functions using the rules and properties of integration. (Do not forget to add +C).

$\displaystyle \int{\left({x}^{{2}}-{x}+{2}\right)}{\left.{d}{x}\right.}=$

$\displaystyle \int\frac{{1}}{{{x}^{{5}}}}{\left.{d}{x}\right.}=$

$\displaystyle \int\frac{{5}}{{{\sqrt[{{4}}]{{{x}^{{3}}}}}}}{\left.{d}{x}\right.}=$

$\displaystyle \int{\left({x}+{4}\right)}^{{2}}{\left.{d}{x}\right.}=$

$\displaystyle \int{\left({x}^{{4}}+\frac{{1}}{{{8}\sqrt{{{x}}}}}-\frac{{4}}{{5}}{x}^{{-\frac{{2}}{{5}}}}\right)}{\left.{d}{x}\right.}=$