Use the trapezium rule, with four strips each of width 0.25 , to find an approximate value for \(\int _ { 0 } ^ { 1 } \frac { 1 } { \sqrt { 1 + x ^ { 2 } } } \mathrm {~d} x\).
Explain how the trapezium rule might be used to give a better approximation to the integral given in part (a).