Past exam of the year 1 of the computer science course of the University of Oxford / 2015 / Discrete mathematics, continuous mathematics, and probability (resit) / 4 / a / ii / Solution

For the composite trapezoidal rule, the mesh width is $h=1/N$ and the nodes are $x_n=n/N$. The endpoint weights are halves and the interior weights are ones, soThis formula is an approximation to the definite integral, not an exact equality with it for finite $N$.