3. (a) Find the values of the constants \(A , B , C\) and \(D\) such that $$\frac { 2 x ^ { 3 } - 5 x ^ { 2 } + 6 } { x ^ { 2 } - 3 x } \equiv A x + B + \frac { C } { x } + \frac { D } { x - 3 } .$$ (b) Evaluate $$\int _ { 1 } ^ { 2 } \frac { 2 x ^ { 3 } - 5 x ^ { 2 } + 6 } { x ^ { 2 } - 3 x } \mathrm {~d} x$$ giving your answer in the form \(p + q \ln 2\), where \(p\) and \(q\) are integers.
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