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I have this integral, and currently I'm evaluating it using Mathematica numerically, which takes time to be evaluated. Can I write it in a way that the integral has a formula in the Table of Integrals?

[tex]\int_0^{\infty} F\left(a_1,a_2;a_3;a_4-a_5x\right) e^{-x}\,dx[/tex]

where ##\{a_i\}_{i=1}^5## are constants, and ##F(.,.;.;) = _2F_1(.,.;.;.)## is the Gauss Hypergeometric function.

Thanks

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# I Simplifying integral of Gauss' hypergeometric function

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