Incorporate a form in a website that has its own domain name?

I have another question: is there a way I can incroporate a form in a website that has its own domain name? Or maybe I can directly configure a domaine name in a form?

Were you perhaps referring to using custom domain name on your forms? Custom domain is available on JotForm Enterprise version.

Check user guide : How to Use Custom Domains with JotForm Enterprise

Please let us know if this is not it. Provide more details and we will check again.