scipy.integrate.quadrature¶

scipy.integrate.quadrature(func, a, b, args=(), tol=1.49e-08, rtol=1.49e-08, maxiter=50, vec_func=True, miniter=1)[source]¶

Compute a definite integral using fixed-tolerance Gaussian quadrature.

Integrate func from a to b using Gaussian quadrature with absolute tolerance tol.

Parameters:

Parameters:	func : function A Python function or method to integrate. a : float Lower limit of integration. b : float Upper limit of integration. args : tuple, optional Extra arguments to pass to function. tol, rtol : float, optional Iteration stops when error between last two iterates is less than tol OR the relative change is less than rtol. maxiter : int, optional Maximum order of Gaussian quadrature. vec_func : bool, optional True or False if func handles arrays as arguments (is a “vector” function). Default is True. miniter : int, optional Minimum order of Gaussian quadrature.
Returns:	val : float Gaussian quadrature approximation (within tolerance) to integral. err : float Difference between last two estimates of the integral.

func : function: A Python function or method to integrate.
a : float: Lower limit of integration.
b : float: Upper limit of integration.
args : tuple, optional: Extra arguments to pass to function.
tol, rtol : float, optional: Iteration stops when error between last two iterates is less than tol OR the relative change is less than rtol.
maxiter : int, optional: Maximum order of Gaussian quadrature.
vec_func : bool, optional: True or False if func handles arrays as arguments (is a “vector” function). Default is True.
miniter : int, optional: Minimum order of Gaussian quadrature.

Returns:

val : float: Gaussian quadrature approximation (within tolerance) to integral.
err : float: Difference between last two estimates of the integral.