Suppose you want to estimate  the intergral from 1 to e of ln(x)dx using the Monte Carlo method. Youplan to sample random points uniformly over the rectangle 1 ≤ x ≤ e and 0 ≤ y ≤ 1.Compute the probability that a randomly chosen point is under the curve y = ln(x).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 9T
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Suppose you want to estimate  the intergral from 1 to e of ln(x)dx using the Monte Carlo method. You
plan to sample random points uniformly over the rectangle 1 ≤ x ≤ e and 0 ≤ y ≤ 1.
Compute the probability that a randomly chosen point is under the curve y = ln(x).

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