Final answer:
The statement is true, as Francis Cabot Lowell established the first integrated textile mill in New England, which was foundational to the Industrial Revolution in America.
Step-by-step explanation:
The statement Francis Cabot Lowell built the first integrated textile mill in New England is true.
Francis Cabot Lowell was an American businessman and the founder of the world's first textile mill in which were housed all operations for converting raw cotton into finished cloth. His innovation initiated the Industrial Revolution in America, particularly in the New England area, and set the stage for the establishment of factory towns in the early 19th century.