Integrating Discrete point in Python

Question

I have two numpy array (x,y)-

import numpy as np
import scipy 
from scipy.integrate import simps

y=np.array([1,1,2,1,-2])
x=np.array([0,1,2,3,4])


        

Answer 1

The scipy interpolators (such as InterpolatedUnivariateSpline) have an integral method. For example,

In [23]: from scipy.interpolate import InterpolatedUnivariateSpline

In [24]: x = np.array([0, 1, 2, 3, 4])

In [25]: y = np.array([1, 1, 2, 1, -2])

In [26]: f = InterpolatedUnivariateSpline(x, y, k=1)  # k=1 gives linear interpolation

In [27]: f.integral(1.5, 2.2)
Out[27]: 1.2550000000000003