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Remarks about the do-ability of integrals

Operations with

{

α

z

,

z

a

,

z

z

}

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Integrals from the literature

An example integral used for calculating “Neutrino forces”​https://arxiv.org/abs/2209.07082v1

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Action-angle integralshttps://mathoverflow.net/questions/96182/action-integral

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A difficult triple trigonometric integralhttps://mathoverflow.net/questions/308834/difficult-trigonometric-integral

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Bounding an integral involving LegendrePhttps://mathoverflow.net/questions/331254/looking-for-bound-in-integral-involving-legendre-polynomial

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A definite integral involving a gaussianhttps://mathoverflow.net/questions/76264/a-definite-integral

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An interesting triple integral involving sinehttps://mathoverflow.net/questions/200880/interesting-triple-integral

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An indefinite integral of a squared hypergeometric functionhttps://mathoverflow.net/questions/246896/indefinite-integral-of-squared-hypergeometric-function

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Indefinite integration of Gamma times a powerhttps://mathoverflow.net/questions/415584/solution-to-int-x-a-gamma-left-b-c-x-d-right-dx/415761#415761

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Integrals involving fractions of an exponentialhttps://mathoverflow.net/questions/389069/integrals-involving-fractions-of-exponentials/389078#389078

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Mellin integrals

Euler integrals (Gamma & Beta functions)

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MellinTransform (direct & inverse)

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Convolution & Parseval equality for MellinTransform

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Using Parseval equality for evaluation

∞

∫

0

α-1

t

-bt



ρ

(c+t)

t



Integrate

α-1

t

-bt



ρ

(c+t)

,{t,0,∞}

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Integrate

α-1

t

-bt-

c

t



,{t,0,∞}

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Integrate

α-1

t

-bt



t-c

,{t,c,∞}

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Integrate

α-1

t

-bt



t-c

,{t,0,∞}



Questions