I want to generate the random numbers in the closed area (rectangle).

I want to generate the random numbers in the closed rectangular area as shown below

after generating these I have to calculate the definite integral for the function line marked by red shaded area by the Monte Carlo method. Any tips regarding this

Answer 1

[Dyuman Joshi]

If you mean in the range (0,4) and (0,25) -

%N = number of points you want, you can also run a for loop (upto you how you want to do)
r=rand(1,N); %generates a 1xN row of random numbers between 0 and 1
%you can also call rand twice for each number
r1=4*r; %0 to 4
r2=25*r; %0 to 25

Answer 2

[Walter Roberson]

r = rand(N,2);
rand_ab = r(:,1) * (b-a) + a;
rand_cd = r(:,2) * (d-c) + c;
rand_coords = [rand_ab, rand_cd];