Evaluate. $($Be sure to check by differentiatingl$)$

${\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}(3t^6-4)t^{5}dt$

Determine a change of variables from t to u $.$ Choose the correct answer below.

A$.v=3t-4$

B$.u=t^5-4$

C$.u=t^5$

D$.u=3t^6-4$

Write the integral in terms of $u.$

${\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}(3t^6-4)t^{5}dt={\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}$

$$ du

$($Type an exact answer. Use parentheses to clearly denote the argument of each function$)$

Evaluate the integral.

${\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}(3t^6-4)t^{5}dt=$

$($Type an exact answer. Use parentheses to clearly denote the argument of each function.$)$