$(12$ points$)$ Evaluate the integral.

${\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}(3x^2+\frac{3}{x^2}-\frac{1}{x}+5^2)dx$

$\{$:${\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}cs{c}^{2}x-cosx+sinx)dx$

${\displaystyle \underset{1}{\overset{3}{}}}(x^2-e^x)dx$