MarkdownValidateComplete the function given the variables N, a,b and return the value as "Totalarea"."Don't change the predefined content' only fill your code in the region 'YOUR CODE'"from math import *def InterageSimpson (N, a, b): # n is the total intervals, a and b is the lower and upper bound respectively"""Hint: Use loop to add all the values in the above equation anduse the if statement to determine whether the value is odd or even"""$ܠdef f(x):## The function f(x)=2*x**3 is defined as below, DON'T CHANGE IT:f=2*x**3return freturn TotalArea####Check your code by using print command below###| Idle Mem: 262.63/12288.00 MBN=100a=1b=3value=0 # Initial valueTotalArea=0 # TotalArea as the final integral value, the area underneath the curve.dx=(b-a)/N # delta x, the interval length# Complete the function by filling your codes below:# YOUR CODE HEREprint (InterageSimpson (N, a, b))[ ]: ## Don't write any code in this box[ ]: ## Don't write any code in this box[ ]: ## Don't write any code in this box[ ]: ## Don't write any code in this boxQRF4FL%5gF5TG^6# Make sure in your solution, you use the same name "TotalArea" for the outputF6YH&7F7U* 08Mode: CommandDIIF8(9KXDDF9Ln 1, Col 1 English (United States) Python_coursework.ipynb)0JAF100 PI45F110 Python 3 (pyk{[114)F12}]E -Python 3 (pykeWe have learned the mid-point and trapezoidal rule for numercial intergration in the tutorials. Now you are asked to implement theSimpson rule, where we approximate the integration of a non-linear curve using piecewise quadratic functions.Assume f(x) is continuous over [a, b]. Let [a, b] be divided into N subintervals, each of length Ax, with endpoints atP= x0, x1,x2,..., Xn,...,xN. Each interval is Ax = (b-a)/N.$The equation for the Simpson numerical integration rule is derived as:df(xn)) + 2 (Σ=2n evenNow complete the Python function InterageSimpson (N, a, b) below to implement this Simpson rule using the above equation.The function to be intergrate is f(x) = 2x³ (Already defined in the function, no need to change).Sof(x)dx≈ [f(x) + 4 (N=[]: 'Complete the function given the variables N, a,b and return the value as "TotalArea". ""Don't change the predefined content only fill your code in the region 'YOUR CODE"aIdle Mem: 262.63/12288.00 MBF4Rfrom math import *def InterageSimpson (N, a, b): # n is the total intervals, a and b is the lower and upper bound respectively"""Hint: Use loop to add all the values in the above equation anduse the if statement to determine whether the value is odd or even"""LLdef f(x):## The function f(x)=2*x**3 is defined as below, DON'T CHANGE IT:f=2*x**3return fvalue=0 # Initial valueTotalArea=0 # TotalArea as the final integral value, the area underneath the curve.dx=(b-a)/N # delta x, the interval length.# Complete the function by filling your codes below:# YOUR CODE HEREreturn TotalArea # Make sure in your solution, you use the same name "TotalArea" for the output####Check your code by using print command below###%59F5n=1,n odd -TG6CF6YH&F7f(x₂)) + f(xN)].U*8Mode: Command ⓇDIIF8K(9F90Ln 1, Col 1 English (United States) Python_coursework.ipynb)O♫F10P:4F11{+ 1111F12}1E

Question

MarkdownValidateComplete the function given the variables N, a,b and return the value as &#34;Totalarea&#34;.&#34;Don't change the predefined content' only fill your code in the region 'YOUR CODE'&#34;from math import *def InterageSimpson (N, a, b): # n is the total intervals, a and b is the lower and upper bound respectively&#34;&#34;&#34;Hint: Use loop to add all the values in the above equation anduse the if statement to determine whether the value is odd or even&#34;&#34;&#34;$ܠdef f(x):## The function f(x)=2*x**3 is defined as below, DON'T CHANGE IT:f=2*x**3return freturn TotalArea####Check your code by using print command below###| Idle Mem: 262.63/12288.00 MBN=100a=1b=3value=0 # Initial valueTotalArea=0 # TotalArea as the final integral value, the area underneath the curve.dx=(b-a)/N # delta x, the interval length# Complete the function by filling your codes below:# YOUR CODE HEREprint (InterageSimpson (N, a, b))[ ]: ## Don't write any code in this box[ ]: ## Don't write any code in this box[ ]: ## Don't write any code in this box[ ]: ## Don't write any code in this boxQRF4FL%5gF5TG^6# Make sure in your solution, you use the same name &#34;TotalArea&#34; for the outputF6YH&7F7U* 08Mode: CommandDIIF8(9KXDDF9Ln 1, Col 1 English (United States) Python_coursework.ipynb)0JAF100 PI45F110 Python 3 (pyk{[114)F12}]E -Python 3 (pykeWe have learned the mid-point and trapezoidal rule for numercial intergration in the tutorials. Now you are asked to implement theSimpson rule, where we approximate the integration of a non-linear curve using piecewise quadratic functions.Assume f(x) is continuous over [a, b]. Let [a, b] be divided into N subintervals, each of length Ax, with endpoints atP= x0, x1,x2,..., Xn,...,xN. Each interval is Ax = (b-a)/N.$The equation for the Simpson numerical integration rule is derived as:df(xn)) + 2 (Σ=2n evenNow complete the Python function InterageSimpson (N, a, b) below to implement this Simpson rule using the above equation.The function to be intergrate is f(x) = 2x³ (Already defined in the function, no need to change).Sof(x)dx≈ [f(x) + 4 (N=[]: 'Complete the function given the variables N, a,b and return the value as &#34;TotalArea&#34;. &#34;&#34;Don't change the predefined content only fill your code in the region 'YOUR CODE&#34;aIdle Mem: 262.63/12288.00 MBF4Rfrom math import *def InterageSimpson (N, a, b): # n is the total intervals, a and b is the lower and upper bound respectively&#34;&#34;&#34;Hint: Use loop to add all the values in the above equation anduse the if statement to determine whether the value is odd or even&#34;&#34;&#34;LLdef f(x):## The function f(x)=2*x**3 is defined as below, DON'T CHANGE IT:f=2*x**3return fvalue=0 # Initial valueTotalArea=0 # TotalArea as the final integral value, the area underneath the curve.dx=(b-a)/N # delta x, the interval length.# Complete the function by filling your codes below:# YOUR CODE HEREreturn TotalArea # Make sure in your solution, you use the same name &#34;TotalArea&#34; for the output####Check your code by using print command below###%59F5n=1,n odd -TG6CF6YH&F7f(x₂)) + f(xN)].U*8Mode: Command ⓇDIIF8K(9F90Ln 1, Col 1 English (United States) Python_coursework.ipynb)O♫F10P:4F11{+ 1111F12}1E

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