from scipy import random
from scipy.integrate import quad
import numpy as np
a = 0
b = np.pi
N = 10000000
xrand = random.uniform(a,b,N)
def f(x):
return np.sin(x)
integral = 0.0
for i in range(N):
integral += f(xrand[i])
answer = (b-a)/float(N)*integral
print("The integral from 0 to pi of sin(x): ", answer)
print(quad(f,0,np.pi)[0])
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