Saturday 30 December 2017

integration - Converting this summation into an integral

This summation includes a sum of n derivatives of the function f(x) at the point (c+d) / 2




I'm trying to convert a Taylor polynomial into an integral. Since I don't understand the MathExchange syntax, I have attached a couple pictures.



The first is the general problem:



enter image description here



The second is my conversion to a Taylor series summation:



(Sorry I left out that n goes from 0 to infinity)




enter image description here



Now, how do I convert it into an integral?

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