Use Simpson's rule with four strips to find an approximation to
$$\int _ { 4 } ^ { 12 } \ln x \mathrm {~d} x$$
giving your answer correct to 2 decimal places.
Deduce an approximation to \(\int _ { 4 } ^ { 12 } \ln \left( x ^ { 10 } \right) \mathrm { d } x\).