SOLVE USING PYTHON!

Given $f^{\text{'}\text{'}}(x)=\frac{8}{(x+1{)}^3}$ :

$($a$)$ If $f^{\text{'}}(0)=3$ and $f(0)=9,$ find $f^{\text{'}}(x)$ and $f(x).$

$($HINT: Python does NOT include the $"+C"$ when you use integrate, so you have to put it in yourself, then use the initial conditions to find each C$.$ This type of problem is called an initial value problem.$)$

$($b$)$ If $f(1)=f(7)=12,$ then find $f(x).$

$($Note: This time you cannot solve for the $C$ values until the end, so give them different names, like C and D$,$ then solve a system of equations for them. This type of problem is called a boundary value problem.$)$