TY - JOUR
T1 - The monte carlo technique and definite integrals
AU - Emanouilidis, Emanuel
PY - 1993
Y1 - 1993
N2 - Very often in practice one has to evaluate a definite integral of a function that has no explicit anti-derivative or whose anti-derivative has values that are not easily obtained. One way of handling this it to use a numerical technique, such as the trapezoidal rule or Simpson's rule, to approximate the value of the integral. This paper describes how the value of a definite integral could be approximated using a Monte Carlo technique and a computer. Another application of this technique is the estimation of the value of pi.
AB - Very often in practice one has to evaluate a definite integral of a function that has no explicit anti-derivative or whose anti-derivative has values that are not easily obtained. One way of handling this it to use a numerical technique, such as the trapezoidal rule or Simpson's rule, to approximate the value of the integral. This paper describes how the value of a definite integral could be approximated using a Monte Carlo technique and a computer. Another application of this technique is the estimation of the value of pi.
UR - http://www.scopus.com/inward/record.url?scp=84946350530&partnerID=8YFLogxK
U2 - 10.1080/0020739930240616
DO - 10.1080/0020739930240616
M3 - Article
AN - SCOPUS:84946350530
SN - 0020-739X
VL - 24
SP - 907
EP - 909
JO - International Journal of Mathematical Education in Science and Technology
JF - International Journal of Mathematical Education in Science and Technology
IS - 6
ER -