Chapter 22, Problem 16P

The depths of a river H are measured at equally spaced distances across a channel as tabulated below. The river's cross-sectional area can be determined by integration as in

$A_c={\displaystyle {\int }_0^{x}H\left(x\right)}dx$

Use Romberg integration to perform the integration to a stopping criterion of 1%.

x, m	0	2	4	6	8	10	12	14	16
H, m	0	1.9	2	2	2.4	2.6	2.25	1.12	0