Prove that

${\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}\frac{1}{\sqrt[\phantom{2}]{1x^2}}dx=sin{h}^{-1}x$

Compute the derivative of $f(x)=x^x$

Use Simpsons' rule to numerically integrate for the $n=5,$ case $f(x)=x$ on the unit interval, approximately by hand.