Find the approximate integral of the following function using Trapezoidal Rule. Use the indicated interval and the number of segments for each problem. Compute also the error of approximated integral for each problem. Lastly, determine the acceptable value of n if each function had to ensure that the error of the method is 0.0005. 1. f(x) = 1 x² +1 at x = [0, 3] where n = 3;

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
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Section2.1: Tables And Trends
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Find the approximate integral of the following function using Trapezoidal Rule. Use
the indicated interval and the number of segments for each problem. Compute also the
error of approximated integral for each problem. Lastly, determine the acceptable value
of n if each function had to ensure that the error of the method is 0.0005.
1. f(x) =
1
x² + 1
at x = [0, 3] where n = 3;
Transcribed Image Text:Find the approximate integral of the following function using Trapezoidal Rule. Use the indicated interval and the number of segments for each problem. Compute also the error of approximated integral for each problem. Lastly, determine the acceptable value of n if each function had to ensure that the error of the method is 0.0005. 1. f(x) = 1 x² + 1 at x = [0, 3] where n = 3;
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