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

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.
 

Thread 'Finding the nth roots of a complex number'

There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
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