What is JotForm?
JotForm is a free online form builder which helps you create online forms without writing a single line of code. No sign-up required.
At JotForm, we want to make sure that you’re getting the online form builder help that you need. Our friendly customer support team is available 24/7.
We believe that if one user has a question, there could be more users who may have the same question. This is why many of our support forum threads are public and available to be searched and viewed. If you’d like help immediately, feel free to search for a similar question, or submit your question or concern.
Unfortunately there is no ready made ASP Library but you can easily build one your own. The API is called via cURL so there is nothing PHP specific about it.
You can take a look at the JotForm API documentation.
If you have any question, I'll be happy to answer them.