## Instructions

**Objective**

## Requirements and Specifications

**Source Code**

POLYNOMIAL

from scipy import integrate

import numpy as np

import matplotlib.pyplot as plt

# Create a function that computes the value of ax^2 + bx + c

def f(x, a, b, c):

return a*x**2 + b*x + c

if __name__ == '__main__':

# First, define the range of r

r = np.arange(0, 5, 0.01)

# Define constants a, b, and c

a = 2

b = 3

c = 4

# Now, compute the first curve

curve1 = list()

for ri in r:

curve1.append(integrate.quad(f, 0, ri, args=(a,b,c))[0])

# Now, change the values for the second curve

a, b, c = 2, 1, 1

# Compute econd curve

curve2 = list()

for ri in r:

curve2.append(integrate.quad(f, 0, ri, args=(a,b,c))[0])

# Finally, plot both curves

plt.figure()

plt.plot(r, curve1, label = 'Curve 1')

plt.plot(r, curve2, label = 'Curve 2')

plt.grid(True)

plt.legend()

plt.xlabel('r')

plt.ylabel('ax^2+bx+c')

plt.show()

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