3.
$$\mathrm { f } ( x ) = \frac { 8 x - 5 } { ( 2 x - 1 ) ( 4 x - 3 ) } \quad x > 1$$
- Express \(\mathrm { f } ( x )\) in partial fractions.
- Hence find \(\int \mathrm { f } ( x ) \mathrm { d } x\)
- Use the answer to part (b) to find the value of \(k\) for which
$$\int _ { k } ^ { 3 k } \mathrm { f } ( x ) \mathrm { d } x = \frac { 1 } { 2 } \ln 20$$