How to use monte carlo method in matlab?

I need to verify that pi = integral from 0 to 2 of(sqrt(4-x^2))dx using the monte carlo method and 10^7 random numbers. I am a little confused about how to implement this in matlab. Could someone help me out?

[Image Analyst]

I don't see where your formula would take a random value (a number taken at random from some distribution).

[Saidou Nourou SOW]

Hello. how to simulate, at each iteration, two independent processes (Xt) and (Yt) each following a random walk? do the following OLS regression: Yt = c + bXt + t.

Answer 1

[Shashank Prasanna]

Here you go, hope you get full score on your assignment :)

f = @(x)sqrt(4-x.^2)

N = 1e7; 
x = 2*rand(N,1); 
intY = 2*sum(f(x))/N

Compare with:

intY = quad(f,0,2)