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Program to evaluate integration using monte carlo method:

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#Program to evaluate integration using monte carlo method:
from math import*
def f(x):
 y=(1-x*x)*exp(-x*x)
 return y
import random as rn
a=input("Enter the lower limit:")
b=input("Enter the upper limit:")
nt=input("Enter the total no. darts:")
n=input("Enter the no. of divisions:")
a=float(a)
b=float(b)
n=int(n)
nt=int(nt)
dell=(b-a)/(n*1.0)
k=[]
for i in range (n):
 j=a+i*dell
 u=f(j)
 k.append(u)
h1=max(k)*1.2
s=min(k)*1.2
h2=abs(s)
ns=0.0
for i in range(nt):
 x=rn.random()
 y=rn.random()
 x1=a+(b-a)*x
 y1=-h2+(h1+h2)*y
 y2=f(x1)
 if y1<=y2:
  ns=ns+1
A=ns/nt*(h1+h2)*(b-a)-h2*(b-a)
print("The value of the integration is:",A)
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