Write a for loop that uses the integer n to compute the nth left hand Riemann sum of the function f(x)=x2 on the interval [0,1].

In python

I have a block of Python. How do I modify it to solve this classical mechanics problem (questions are in the picture)? import matplotlib.pyplot as pltimport numpy as npimport os # This solves for x such that 1+tanh(x)=alpha *x# The program first prompts for alpha print("This find zeros of function 1+tanh(x)-alpha*x")alpha=float(input("Enter alpha: ")) # This defines a function F(x) and its derivative Fprime(x)def GetFFprime(x):  F=1.0+np.tanh(x)-alpha*x  Fprime=1.0/(np.cosh(x)*np.cosh(x)) -alpha  return F,Fprime xguess=float(input("Guess a value of x: "))yarray=[]      # Make arrays with no elementsxarray=[]xarray.append(xguess)  # Add element with guess for first valueyarray.append(0.0)biggestx=xarray[0] offby=1.0E20 # used to check convergencenarray=0while offby>1.0E-7 and narray<10:  yarray[narray],yprime=GetFFprime(xarray[narray])  print("x=",xarray[narray]," y=",yarray[narray])  offby=np.fabs(yarray[narray])  xarray.append(0.0)  yarray.append(0.0)…

I need python solution please! Thank you