Show that \(\int _ { 6 } ^ { 16 } \frac { 6 } { 2 x - 7 } \mathrm {~d} x = \ln 125\).
Use the trapezium rule with four intervals to find an approximation to
$$\int _ { 1 } ^ { 17 } \log _ { 10 } x d x$$
giving your answer correct to 3 significant figures.