$[$Section $5\mathrm{.}2]$ Find the indefinite integral: ${\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}(60x^4-120)(2x^5-20x+3{)}^{7}dx(7$ points$)$

$[$Section $5\mathrm{.}3]$ Find the indefinite integral: ${\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}\frac{4-6x}{9x^2-12x+1}dx(7$ points$)$

$[$Section $5\mathrm{.}4]$ Find the change in profit given the marginal profit $\frac{dP}{dx}=640-12\sqrt[\phantom{2}]{x}$ as the number of units sold increases from $x=64$ to $100$ units. $(5$ points$)$