- #1

- 1,367

- 61

## Main Question or Discussion Point

Hello,

During my derivation, I am faced with the following integral:

[tex]\int_0^{\infty}x^A\,(x^2+x)^{B/2}\,e^{-Cx}\,K_{(B)}\left(2\,\alpha\,\sqrt{x^2+x}\right)\,dx[/tex]

where A, B, and C are positive integers, [tex]K_{(B)}[/tex] is the [tex]B^{th}[/tex] order modified bessel function of the second kind. I am intending to find an equivalent integral in the table of integrals. Can anyone help me, please?

During my derivation, I am faced with the following integral:

[tex]\int_0^{\infty}x^A\,(x^2+x)^{B/2}\,e^{-Cx}\,K_{(B)}\left(2\,\alpha\,\sqrt{x^2+x}\right)\,dx[/tex]

where A, B, and C are positive integers, [tex]K_{(B)}[/tex] is the [tex]B^{th}[/tex] order modified bessel function of the second kind. I am intending to find an equivalent integral in the table of integrals. Can anyone help me, please?