Is there any college providing distance education in BA B.Ed integrated course?

Yes, there are some colleges and universities in India that offer distance education in B.A. B.Ed integrated course. Here are some of them: Madurai Kamaraj University - Directorate of Distance Education Sri Venkateswara University - Centre for Distance Education Dr. Babasaheb Ambedkar Open Universit

Yes, there is a university in Andhra Pradesh at Vishakhapatnam. Andhra University provides distance education in BA B.ED integrated course and to join there, you have to clear the entrance exam and get a good rank in it.