How can I integrate by using bessel function

L = integral (besselj(0,x)*x^2)k,1)

[Dyuman Joshi]

Any updates, @JITEN RANJAN?

Answer 1

[Manikanta Aditya]

Hey,

Check how you can integrate using bessel function:

% Define the lower limit of integration
k = 0; % Example value, replace 0 with your actual k value

% Define the anonymous function to be integrated
f = @(x) besselj(0, x) .* x.^2;

% Perform the numerical integration
L = integral(f, k, 1);

% Display the result
disp(L);

    0.2855

Thanks!

Answer 2

[Dyuman Joshi]

You need to provide the integrand as a function handle, see here - https://in.mathworks.com/help/matlab/ref/integral.html#btbbkta-1-fun

You can also make the integration a function of k, and obtain the integral value for different inputs -

fun = @(x) besselj(0,x).*x.^2;
L = @(k) integral(fun, k, 1)

L = function_handle with value:
    @(k)integral(fun,k,1)

L(0)

ans = 0.2855

L(0.5)

ans = 0.2454

However, if you want to get the integral as an expression, you will need to use symbolic integration for that - int (Note - requires the Symbolic Math Toolbox).