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ParametersReturns

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.

See Also

cumulative_trapezoid

cumulative integration for sampled data

dblquad

double integrals

fixed_quad

fixed-order Gaussian quadrature

ode

ODE integrator

odeint

ODE integrator

quad

adaptive quadrature using QUADPACK

romb

integrator for sampled data

romberg

adaptive Romberg quadrature

simpson

integrator for sampled data

tplquad

triple integrals

Examples

from scipy import integrate
import numpy as np
f = lambda x: x**8
integrate.quadrature(f, 0.0, 1.0)

print(1/9.0)  # analytical result

integrate.quadrature(np.cos, 0.0, np.pi/2)

np.sin(np.pi/2)-np.sin(0)  # analytical result

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