Numerical integration workshop:

1
Numerical integration workshop

1. Use the composite trapezoidal rule to obtain an
   approximation for

Compare this to the analytic solution. Calculate
the relative and absolute error as a function of
the number of nodes, giving the results in a
table.
2) Use Romberg integration to evaluate
to an accuracy of 10 significant figures.
3) Use Romberg integration to evaluate
To 5 significant figures. What do you notice
about the convergence of the two integrals?
4) Evaluate Eulers Gamma function in the interval
What values does this function take when z is an
integer?