1 Expand \(( 1 - 2 x ) ^ { 4 }\) in ascending powers of \(x\), simplifying the coefficients.
- Find \(\int \frac { 1 } { x ^ { 2 } } \mathrm {~d} x\).
- The gradient of a curve is given by \(\frac { \mathrm { d } y } { \mathrm {~d} x } = \frac { 1 } { x ^ { 2 } }\). Find the equation of the curve, given that it passes through the point \(( 1,3 )\).