List of Figures

1. Decomposition of the integral $\int_a^b f(x)\,dx$ into $N$ regular intervals
2. Integration of interval $I_i$.
3. Linear behavior of the trapezoid rule when viewed as a function of $h^2$.
4. Mapping of regular sampling of unit interval under change of variables: (a) linear map, (b) map to semi-infinite interval, (c) map to semi-infinite interval with concentration of points at origin.
5. Integrand of $\int_0^\infty \frac{1}{1+r^2}\,dr$: (a) direct integration, (b) under change of variables in Eq. (21).
6. Integrand of $\int_0^\infty \frac{e^{-r}}{\sqrt{r}}\,dr$: (a) direct integration, (b) under change of variables in Eq. (22).