More advanced function programming: Monte Carlo integration
Many scientific problems involve computations of integrals. If f is a scalar function of one variable and integratable, we can write the integral as:
(5.7)
where F(x) is the anti-derivative of f. Calculating the integral of most functions analytically can be a daunting and often impossible task, which is why we turn to the numerical alternative.
There are different ways to compute the integral numerically. Here we will write a function that uses the Monte Carlo method . Later we discuss the other integration methods that come with Octave. Now, assume that f is positive in the interval x ∈ ...
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