How to introduce integral function in dynare?

Dear Dynare’s users,
I’m trying to replicate Krause and Lubik Paper 2007 ( the The (ir)relevance of real wage rigidity in the New
Keynesian model with search frictions ) I don’t know how to introduce the production function (equation number 5 in paper) in dynare because there is an integral function. I need your help please.

I attached the paper.

Thank you.

Clara

You define the whole integral as a variable. That is what the second part of that equation does.