7. (i) Using a suitable substitution, find, using calculus, the value of
$$\int _ { 1 } ^ { 5 } \frac { 3 x } { \sqrt { 2 x - 1 } } \mathrm {~d} x$$
(Solutions relying entirely on calculator technology are not acceptable.)
(ii) Find
$$\int \frac { 6 x ^ { 2 } - 16 } { ( x + 1 ) ( 2 x - 3 ) } d x$$