Publishers Hello, I recently finetuned a mathematical method that creates representations of the integrals of power functions with a tight degree of accuracy around 1% off of the real value at the point of max deviation. I had three questions that you would hopefully be able to answer for me: 1.) Do you believe that this would be significant enough of a finding to get published? 2.) If yes, where should I submit it to? I unfortunately finished it a year after finishing college, but I started working on it in my freshman year. 3.) Where would I get a detailed review of the work? (I am pretty sure many people would rather not read a 50 page paper on a method that may or may not be significant.) 
A quadrature method for approximating power functions? 
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((x5)/2)(sqrt(x^2)/2)+(7/2) which is a mirror of 1. It is pretty much a simple form of Calculus of Variations. https://en.wikipedia.org/wiki/Calculus_of_variations 
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I am just showing simple functions can be put together to represent anything from something as simple as a constant such as 1 or as complex as the integral of a power function. 
Do you mean integrals like $\int x^p dx$? Sorry if I fail to understand, but don't we already know exactly what these integrals are? 
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However, we do already know how to approximate these integrals to any degree of accuracy. So if you want to publish this, then you'll need to show somehow that your method is better than the currently known ones. Better could mean that it is more numerically stable, or it is faster, or... If you could show this, then yes, people would be very interested in this result. You don't even have to show it mathematically, doing a simulation study where your technique beats the competition would already be quite good! 
https://i.stack.imgur.com/ABLLu.png https://i.stack.imgur.com/QctML.png Here is a run I took with exp(x^2). The first is the integral values, the second the derivative of my function divided by exp(x^2) minus 1. As you can see it is fairly accurate, and these graphs capture the max error deviation, which is centered around x=1, 1. As the approaches both positive and negative infinity the error ratio goes to zero. 
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So if your method doesn't give the correct answer, what is its benefit? Is it faster? More stable? 
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