How can I integrate automatic invoicing in my form?

I'm creating a form for a conference registration with a Stripe payment integrated and I would like the participants to receive an invoice from the system directly.

Yes it is possible. 

You can take advantage of our "PDF Editor" to create a submission PDF customize it based on your invoice requirement. You can then configure your form's auto-responder email alert to send this submission PDF document to user who submitted form. You may like to take a look at the following guide which should help you:  https://www.jotform.com/help/503-How-to-include-submissions-as-PDF-attachment-in-the-email-notifications

Hope this helps.

Do get back to us if you have any questions.