Letting() be the population of a country at time (measured in years), consider the integral It is assumed that () is known at 1930, 1940, , 2010 (as an example, the values for the USA are given in...

Letting() be the population of a country at time

(measured in years), consider the integral

It is assumed that
() is known at 1930, 1940, , 2010 (as an example, the values for the USA are given in Table 5.7).

(a) Use the composite midpoint rule to evaluate the integral.

(b) Use the composite trapezoidal rule to evaluate the integral.

(c) Use the composite Simpson rule to evaluate the integral.

(d) Use Romberg integration with the composite midpoint rule to evaluate the integral.