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monte carlo integration

hh278hh278 Posts: 1Member
Define a function mc_integral(N, a, b) which implements Monte Carlo algorithm of approximating value of the integral (1) for a given number of sample points N and the integral limits a and b. This function should return a single double value.
Run your Monte Carlo simulation by calling the function mc_integral(N, a,b) with a = 0, b = 6 and different N. Use N = 100, N = 100; 000 and
N = 100,000,000. Measure the running times for every value of N.

equation (1)...
sqrt(-2sin(theta)-(10/3)sin(2theta/3))^2+(2cos(theta)-(10/3)cos(2theta/3))^2
limits for the integral are 0 to 6pi

n is the number of samples generated could be 1000 or 1000000 etc
depands on user input

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