7.
$$f ( x ) = \frac { 25 } { ( 3 + 2 x ) ^ { 2 } ( 1 - x ) } , \quad | x | < 1$$
- Express \(\mathrm { f } ( x )\) as a sum of partial fractions.
- Hence find \(\int f ( x ) d x\).
- Find the series expansion of \(\mathrm { f } ( x )\) in ascending powers of \(x\) up to and including the term in \(x ^ { 2 }\). Give each coefficient as a simplified fraction.
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