Let $f(x)=2-\frac{18}{x^2}+3\sqrt[\phantom{2}]{x}$ and $g(x)=\{\begin{array}{ccc}6cos(x)& if& x<mn>0</mn>\\ 6e^x& if& x0\end{array}.$

Evaluate the integral.

${\displaystyle \underset{1}{\overset{9}{}}}f(x)dx$

Evaluate the integral.

${\displaystyle \underset{-\frac{}{2}}{\overset{ln(4)}{}}}g(x)dx$

Hint: ${\displaystyle \underset{-\frac{}{2}}{\overset{ln(4)}{}}}g(x)dx={\displaystyle \underset{-\frac{}{2}}{\overset{0}{}}}g(x)dx+{\displaystyle \underset{0}{\overset{ln(4)}{}}}g(x)dx.$