Approximates the integral of an univariate function using the Gauss-Lobatto quadrature rule.

Syntax

area = GaussLobatto(FuncName, a, b, n)

Arguments

Name

Description

FuncName

A string containing the name of the user function to be integrated.

a

The starting point of the integration interval.

b

The ending point of the integration interval.

n

The number of points used to construct the approximation. The minimum is 2 and the maximum is 10.

Output

Name

Description

area

The computed area for the integral.

Example

Integrate the sine function on the interval [0, pi].

Syntax

function func(x)

{

   return = Sin(x)

}

area = GaussLobatto("func", 0, Acos(-1), 10)

Result

area = 2

Comments

The points selected in the Gauss-Lobatto method include the endpoints of the interval.

See Also:

GaussLegendre

Integral