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Topic: Difficult Integral
Replies: 2   Last Post: Nov 7, 2012 8:08 AM

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Posts: 22
Registered: 7/3/11
Re: Difficult Integral
Posted: Sep 20, 2011 10:01 AM
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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.

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