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Self-root function and reciprocal self-power function have same integrals

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Self-root function and reciprocal self-power function have same integrals
tommy1729 Offline
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04/10/2010, 10:18 PM
(04/03/2010, 04:25 AM)Ztolk Wrote: I was playing around with Maple and I noticed that.

\( \int_{0}^{\infty}x^{\frac{1}{x}-2}dx=\int_{0}^{\infty}x^{-x}dx \)=1.995455958

the substitution y = 1/x proves it.

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tommy1729
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RE: Self-root function and reciprocal self-power function have same integrals - by tommy1729 - 04/10/2010, 10:18 PM

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