3. In this question you must show all stages of your working.
Solutions relying entirely on calculator technology are not acceptable.
Given that \(k\) is a positive constant,
- find
$$\int \frac { 9 x } { 3 x ^ { 2 } + k } d x$$
Given also that
$$\int _ { 2 } ^ { 5 } \frac { 9 x } { 3 x ^ { 2 } + k } \mathrm {~d} x = \ln 8$$
- find the value of \(k\)