Evaluate the following indefinite integrals.

$($a$){\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}\frac{x^3+5\sqrt[\phantom{2}]{x}-4}{\sqrt[\phantom{2}]{x}}dx$

$($b$){\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}\frac{(4x-5{)}^2}{x}dx$

$($c$){\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}\frac{1}{(2-h{)}^{100}}dh$

$($d$){\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}sec(3x-8)tan(3x-8)dx$

$($e$){\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}\frac{e^x}{e^{8x}}dx$

$($f$){\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}tan(t)cos(t)csc(t)dt$

$($g$){\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}\frac{1-co{s}^2(7x)}{sin(7x)}dx$