4.
$$f ( x ) = \frac { 2 x ^ { 4 } + 15 x ^ { 3 } + 35 x ^ { 2 } + 21 x - 4 } { ( x + 3 ) ^ { 2 } } \quad x \in \mathbb { R } \quad x > - 3$$
- Find the values of the constants \(A\), \(B\), \(C\) and \(D\) such that
$$\mathrm { f } ( x ) = A x ^ { 2 } + B x + C + \frac { D } { ( x + 3 ) ^ { 2 } }$$
- Hence find,
$$\int \mathrm { f } ( x ) \mathrm { d } x$$