- (i) Find
$$\int \frac { 12 } { ( 2 x - 1 ) ^ { 2 } } \mathrm {~d} x$$
giving your answer in simplest form.
(ii) (a) Write \(\frac { 4 x + 3 } { x + 2 }\) in the form
$$A + \frac { B } { x + 2 } \text { where } A \text { and } B \text { are constants to be found }$$
(b) Hence find, using algebraic integration, the exact value of
$$\int _ { - 8 } ^ { - 5 } \frac { 4 x + 3 } { x + 2 } d x$$
giving your answer in simplest form.