11 Let \(\mathrm { f } ( x ) = \frac { 5 - x + 6 x ^ { 2 } } { ( 3 - x ) \left( 1 + 3 x ^ { 2 } \right) }\).
- Express \(\mathrm { f } ( x )\) in partial fractions.
- Find the exact value of \(\int _ { 0 } ^ { 1 } \mathrm { f } ( x ) \mathrm { d } x\), simplifying your answer.
If you use the following lined page to complete the answer(s) to any question(s), the question number(s) must be clearly shown.