5.
$$f ( x ) = \frac { 15 - 17 x } { ( 2 + x ) ( 1 - 3 x ) ^ { 2 } } , \quad x \neq - 2 , \quad x \neq \frac { 1 } { 3 }$$
- Find the values of the constants \(A , B\) and \(C\) such that
$$\mathrm { f } ( x ) = \frac { A } { 2 + x } + \frac { B } { 1 - 3 x } + \frac { C } { ( 1 - 3 x ) ^ { 2 } }$$
- Find the value of
$$\int _ { - 1 } ^ { 0 } f ( x ) d x$$
giving your answer in the form \(p + \ln q\), where \(p\) and \(q\) are integers.