Solve the integral below with $u-$substitution. Hints will appear after $3$ and $6$ attempts.

${\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}10cs{c}^2(-8x)e^{cot(-8x)}dx$

Let $u=$

Then $du=$ Then, we substitute in the integral to get ${\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}},($which has $\text{'}u\text{'}$ and $\text{'}$du$\text{'}$ in it$,$ not $\text{'}x\text{'}$ or $\text{'}$dx$\text{'}$

$$ Now this is a basic integral. Evaluate it to get all possible antiderivatives in terms of $\text{'}u\text{'}$: and then the final answer is ${\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}10cs{c}^2(-8x)e^{cot(-8x)}dx=$