4.
$$\mathrm { f } ( x ) = \frac { 4 - 4 x } { x ( x - 2 ) ^ { 2 } } \quad x > 2$$
- Express \(\mathrm { f } ( x )\) in partial fractions.
- Hence find \(\int \mathrm { f } ( x ) \mathrm { d } x\)
- Find
$$\int _ { 3 } ^ { 5 } f ( x ) d x$$
giving your answer in the form \(a + \ln b\), where \(a\) and \(b\) are rational numbers to be found.