I want to compute the following integral
where the parameters are given by: $\alpha=3.95$, $w_{zeq} = 2.5$, $\sigma_R = 0.32$, $\mu = -0.05$, $A_0 = 0.0032$, $\sigma = 0.548$, $h_0 = 0.001$, and $\nu=0.58$. I've tried to compute it using Mathematica (NINtegrate) however I get the message "Numerical integration converging too slowly, suspect one of the following: singularity, value of the integration is 0, highly oscillatory integrand". So, I'm not sure if the value obtained is correct or not.