Use the trapezium rule with five ordinates (four strips) to find an approximate value for
$$\int _ { 0 } ^ { 4 } \frac { 1 } { x ^ { 2 } + 1 } \mathrm {~d} x$$
giving your answer to four significant figures.
State how you could obtain a better approximation to the value of the integral using the trapezium rule.