${\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}x{e}^{x}dx=(x-1)e^x+C,$ True$/$False

$\frac{d}{dx}[f^{-1}(a)]=\frac{1}{f^{\text{'}}(f^{-1}(a))},$ True $\frac{?}{?}$ False

If $x>0,$ then $ln(x^8)=8ln(x)$

True $/$ False

$4.\frac{d}{dx}[x^{\sqrt[\phantom{2}]{3}}]=ln(\sqrt[\phantom{2}]{3})*x^{\sqrt[\phantom{2}]{3}-1}$

True $/$ False

$5.{\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}{2}^{x}dx=\frac{1}{ln(2)}{2}^x+C$

True $/$ False

$6.$ If $f$ is continuous and ${\displaystyle \underset{0}{\overset{16}{}}}f(x)dx=8,$ then ${\displaystyle \underset{0}{\overset{2}{}}}{x}^{3}f(x^4)dx=2.$

True $/$ False