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 import numpy as np

from scipy.integrate import quad

import matplotlib.pyplot as plt



f = lambda x: np.sin(x**2)

A = []


x = np.arange(0.01, 10, 0.01)


for i in x:

    

    res = quad(f, 0, i)

    A.append(res[0])


print(sum(A))


plt.plot(x[:600], A[:600],label="Fresnel Integral Si(x)")

plt.grid()

plt.legend()


plt.show()


print("From the plot, we find that the solution slowly converges to 0.5")

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