Can the Taylor Series Method Accurately Compute Integrals with 10-3 Precision?

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Homework Help Overview

The discussion revolves around the application of the Taylor series method to compute a specific integral, specifically the integral of [sin(x²)] / (x²) from 1 to 2, with a precision of 10^-3.

Discussion Character

  • Exploratory, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the use of the Taylor series for sin(x) as a starting point for the computation. There is a question about the proper use of the template for the problem.

Discussion Status

The conversation includes attempts to clarify the method of expanding the Taylor series and its application to the integral. One participant indicates that the problem has been solved, though no details are provided.

Contextual Notes

There is an indication that the template for the problem should be followed, suggesting some constraints on how the discussion should be structured.

vucollegeguy
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Use taylor series method to compute the integral from 1 to 2 of [sin(x2)] / (x2) with 10-3 precision.
 
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The template is there for a reason. Please use it. Do you at least know how to expand a taylor series?
 
Start with the Taylor's series for sin(x).
 
Solved already.
Thank you all for help.
 

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