Wordpress is written in PHP, and asp.net is written in .Net. The server side language is different, what do you mean by integration?
If you say that the main side ( www.mysite.com) is ASP.NET, and the side of the blog ( blog.mysite.com) is Wordpress, then yes, it is possible. You just need to set the front side and the side of the blog in different ways, and then use IIS or Apache to redirect according to the subdomain name.
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