Quadl
It integrates a specified function over specified limits, based on adaptive Lobatto quadrature. This one is more accurate than quad but it also uses more function evaluations. It may, however, be more efficient if your integrand is a smooth function. This function is a replacement of quad8 that existed in MATLAB 5.x. It uses a better and more reliable algorithm.
The syntax for quadl is the same as that for a quad.
Syntax
I = quadl(‘fun’,a,b)
Uses
Quadl is similar to quad, but it uses a different numerical algorithm to compute the integral. It can also handle a wide range of functions and can provide high accuracy for well-behaved functions.
For example, to approximate the integral of the function funct(x) = x^2 from x = 0 to x = 2, we can use the following code:
Matlab
>> a = 0; >> b = 2; % first you have to create a function like here 'funct' is a function %and then call that function. %see the below output for more clarification. >> I = quadl( 'funct' ,a,b); >> I |
Output:
I = 2.66667 %This means that the approximate value of the definite integral is 2.66667.
Quad and Quadl in MATLAB
The Quad and Quadl are built-in functions in MATLAB that allow you to approximate the definite integral of a function over a given interval.