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Sam2718
Posts:
22
Registered:
7/3/11


Re: Difficult Integral
Posted:
Sep 20, 2011 10:01 AM


It looks like it should be integrable. Looks are deceiving. I failed but that doesn't mean much. When Wolfram Alpha fails that's somehow satisfying.
So I took my usual creative approach and integrated the function numerically and the curve fitted that solution. Nothing tricky there.
Plotted and integrated from 0 to 10 then fitted with a 10 degree polynomial gave a standard error of 0.000040 and a correlation coeff. of 0.9999999999997.
Y = + 1.41404682144124*X + 0.17335866293276*X^2 + 0.176693338133805*X^3  0.039565345392442*X^4 + 0.009124247985595*X^5  0.001134169696749*X^6 + 0.0001168574888*X^7  0.000006738827342*X^8 + 0.00000022339215*X^9  0.000000000653659*X^10 + 0.000059581500782
Numerical integration is pretty accurate but the curve is fitted to it so not absolute. A difference of .0004 is realistic.
Just a thought.



