Answer:
see below
Step-by-step explanation:
[tex]-2(4 - \frac{x}{2} )^{5} + C[/tex]
Think of the above as:
[tex]-\frac{2}{1}[/tex] * [tex](\frac{8}{2} - \frac{x}{2} )^{5} + C[/tex]
= [tex]-\frac{2}{1}[/tex] * [tex]\frac{(8 - x)^{5}}{2^{5}} + C[/tex]
= [tex]-\frac{2}{1}[/tex] * [tex]\frac{(8 - x)^{5}}{32} + C[/tex]
= [tex]-\frac{1}{1}[/tex] * [tex]\frac{(8 - x)^{5}}{16} + C[/tex]
= [tex]\frac{-1(8 - x)^{5}}{16} + C[/tex]
= [tex]\frac{(-8 + x)^{5}}{16} + C[/tex]
Can flip it around to be...
[tex]\frac{(x - 8)^{5}}{16} + C[/tex]
