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● What is the Monte Carlo method?We can get a complex area by using the Monte Carlo method instead of calculating it using an integral.The Monte Carlo method outputs a lot of random points within a specified range, and counts them if they are within the target area.Calculates the ratio between the number of times that the point is printed and the counted point.Then, the area of ​​the target area..

The area of ​the first quadrant in the equation of a circle can be calculated using the integral likes below. We use integral for get the area of under the graph.But, computer can compute this as the sum of area of thin bars. (because computers have fast computational processing power) It can be obtained as shown in the figure below.There must be exist an error this way.But if we calculate δ as ..