\[\int_{0}^{x}e^{\pm t}t^{-\nu}I_{\nu}\left(t\right)\,\mathrm{d}t=-\frac{e^{\pm x%
}x^{-\nu+1}}{2\nu-1}(I_{\nu}\left(x\right)\mp I_{\nu-1}\left(x\right))\mp\frac%
{2^{-\nu+1}}{(2\nu-1)\Gamma\left(\nu\right)},\]