Question

USE MONTE CARLO INTEGRATION TO ESTIMATE THE INTEGRAL OF A FUNCTION.
ALSO CALCULATE THE ERROR-> LIMIT(1,0) ∫ 𝑥 ^2 (3𝑥 + 1)𝑑X

Accepted Answer

from scipy import random import numpy as np a = 0 b = 1 N = 1000 ar = np.zeros(N) for i in range(len(ar)):     ar[i] = random.uniform(a, b) integral = 0.0 def f(x):     return x**2*(3*x+1) for i in ar:     integral += f(i) ans = (b-a)/float(N)*integral print(f The answer {ans}. )

Question #275731

Use Monte Carlo integration to estimate the integral of a function. Also calculate the error-> limit(1,0) ∫ 𝑥 ^2 (3𝑥 + 1)𝑑x

Expert's answer

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