$(1$ point$)$ Find the partial fraction decomposition for the following rational expression.

$\frac{42-(4t^{2}28t)}{(t4)(t-1)(t-2)}=\frac{A}{t4}\frac{B}{t-1}\frac{C}{t-2}$

Answer: $A=,B=,$ and $C=$

Using the partial fraction decomposition above, evaluate the integral

${\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}\frac{42-(4t^{2}28t)}{(t4)(t-1)(t-2)}dt$

Answer: