R language Monte Carlo method and average method are used to calculate the definite integral. Considering the random point casting method, the confidence is 0.05, and the requirement is ϵ= 0.01, numbe

Mont · Carol's method （Monte Carlo method）, Also known as statistical simulation method , Because of the development of science and technology and the invention of computer in the mid-1940s , And a kind of very important numerical calculation method guided by probability and statistics theory is proposed . It means using random numbers （ Or more common pseudo-random numbers ） To solve a lot of computational problems .

use Monte Carlo Method to calculate definite integral I = ∫ 0 1 ( 1 + x 2 ) d x I = \int_{0}^1 \sqrt{(1+x^2)}dx