2. Suppose we want to compute the arclength of y = ln x from x = 1 to x = 3. (a) Write out the integral corresponding to the arclength. Don't try to solve it (it is very difficult to do using the FTC). (b) Write the values of the integrand (function inside the integral sign) for x = 1, 1.5, 2, 2.5, and x = 3 in a table, rounded off to the nearest thousandth. Then, approximate the arclength using the trapezoid rule and Simpson's rule using these five points. (For the sake of comparison, here is the exact answer, thanks to an integral calculator:) In (√10+1)-In (√/10-1) - In (√2+1) + In (√2-1)-2√/10 + 2² 2 Approximation: 2.301987534577569
2. Suppose we want to compute the arclength of y = ln x from x = 1 to x = 3. (a) Write out the integral corresponding to the arclength. Don't try to solve it (it is very difficult to do using the FTC). (b) Write the values of the integrand (function inside the integral sign) for x = 1, 1.5, 2, 2.5, and x = 3 in a table, rounded off to the nearest thousandth. Then, approximate the arclength using the trapezoid rule and Simpson's rule using these five points. (For the sake of comparison, here is the exact answer, thanks to an integral calculator:) In (√10+1)-In (√/10-1) - In (√2+1) + In (√2-1)-2√/10 + 2² 2 Approximation: 2.301987534577569
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
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