Abstract:
This article discusses how to use Lobatto Quadrature to approximate the Euler
constant e. The process begins by approximating integral of function f(x) = 1=x on
interval [n; n+1] using Lobatto Quadrature. Then the approximation of the integral
is related to the analytic result of the integral of f(x) = 1=x on the interval [n; n+1].
Approximating the Euler constant e using Lobatto quadrature method are done on
some variations of node points. At the end of the discussion the comparison on
approximating the Euler constant e using trapezoidal rule, Simpson 1=3 rule, Gauss
quadrature rule and Lobatto quadrature method are given