Find the following integrals by using formula $(10\mathrm{.}1\mathrm{.}4)$:

$($a$){\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}{x}^{13}dx$

$($b$){\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}x\sqrt[\phantom{2}]{x}dx$

$($c$){\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}\frac{1}{\sqrt[\phantom{2}]{x}}dx$

$($d$){\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}\sqrt[\phantom{2}]{x\sqrt[\phantom{2}]{x\sqrt[\phantom{2}]{x}}}dx$

$($e$){\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}{e}^{-x}dx$

$($f$){\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}{e}^{\frac{x}{4}}dx$

$($g$){\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}3e^{-2x}dx$

$($h$){\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}{2}^{x}dx$