SciPy is a package in Python that provides functions that can be used for numerical and mathematical computation. The integrate sub-package in SciPy implements general-purpose integration methods in Python. The scipy.integrate.fixed_quad method in SciPy computes a definite integral using a simple Gaussian quadrature of the fixed order n.
scipy.integrate.fixed_quad(func, a, b, args=(), n=5)
func: This is a Python function or method representing the function to be integrated using the Gaussian quadrature. The function should accept vector inputs. When integrating a vector-valued function, the returned array must have the shape (..., len(x)).
a: It is the lower limit of integration. It has the float type.
b: It is the upper limit of integration. It has the float type.
args: This is an optional parameter which is a sequence of extra arguments passed to func.
n: This is the Gaussian quadrature’s order. The default value is .
val: This is the computed Gaussian quadrature approximation to the integral. It has the float type.
none: This is the statistically returned value of None.
Let’s see how to compute the Gaussian quadrature approximation of order of the function using the scipy.integrate.fixed_quad method over the fixed interval .
import numpy as npfrom scipy import integrateprint(integrate.fixed_quad(np.sin, 0.0, np.pi/4, n=5))
numpy library and the integrate sub-package from the scipy library.np.sin method in the NumPy library as our function to be integrated. We pass np.sin as the function and 0 and np.pi/4 as integration limits. is the order of the quadrature integration to the scipy.integrate.fixed_quad. We then print the result.