A1-MCIntegration.pdf - CX 4010 CSE 6010 Assignment 1 Monte Carlo Integral Computation Due Dates \u2022 Due 11 AM Friday \u2022 No late submissions will be

A1-MCIntegration.pdf - CX 4010 CSE 6010 Assignment 1 Monte...

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CX 4010 / CSE 6010 Assignment 1 Monte Carlo Integral Computation Due Dates: Due: 11 AM, Friday, August 30, 2019 No late submissions will be accepted Write a C program to compute the value of an integral for an arbitrary function ࠵?(࠵?) : ࠵? = ’ ࠵?(࠵?) ( ) You may assume f(x) is defined and f(x) ³ 0 for all x such that a £ x £ b . Define a C function to implement ࠵?(࠵?) . For this assignment assume ࠵?(࠵?) = ࠵? * but your code should be written so new functions can be implemented by simply replacing your C function with another. Use a Monte Carlo simulation approach to compute the value of the integral. The figure below shows a plot of f(x) for x Î [a, b] . The value of the integral Z is the area underneath the curve for f(x) for x Î [a, b] . Define some constant value K such that K > f(x) for all x Î [a, b] . Randomly select a point (x’, y’) in the shaded rectangle bound by the X axis, and the lines y =K, x=a , and x=b . Each point in the shaded box is equally likely to be selected. The probability that the point (x’, y’) lies
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  • Fall '17
  • Richard Fujimoto

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