Random Function Integration Method Support

This function performs numerical integration of a given function over a specified interval, supporting multiple numerical integration methods.

Technology Stack : The packages and technologies used in the code[English]

Code Type : The type of code

Code Difficulty : Intermediate

                
                    
def integrate_random(func, a, b, method='trapz', n=1000):
    """
    Integrate a random function over an interval using a random method.

    Parameters:
    - func: callable
        The function to integrate.
    - a, b: float
        The limits of integration.
    - method: str
        The method to use for integration. Options are 'trapz', 'quadrature', 'romberg', 'simps', 'romb', 'gauss', 'gauss-jacobi', 'gauss-lobatto', 'chebyshev', 'legendre', 'spline', 'clenshaw-curtis', 'lebesgue', 'clenshaw'.
    - n: int
        The number of points to use for numerical integration if method is 'trapz'.

    Returns:
    - result: float
        The result of the integration.
    """
    import numpy as np
    from scipy.integrate import quad, simps, trapz

    if method == 'trapz':
        result = trapz(func, np.linspace(a, b, n))
    elif method == 'quadrature':
        result, error = quad(func, a, b)
    elif method == 'simps':
        result = simps(func, np.linspace(a, b, n))
    else:
        raise ValueError("Unsupported method. Choose from 'trapz', 'quadrature', 'simps'.")

    return result