@article {Tong:1 March 2002:0020-739X:277,
author = "Tong J.",
author = "Braza P. A.",
title = "A converse of the mean value theorem for integrals",
journal = "International Journal of Mathematical Education in Science and Technology",
volume = "33",
year = "1 March 2002",
abstract = "This note considers continuous functions f on an interval [a, b] and develops sufficient conditions to answer the question, for what points c in the interval is there a rectangle with height f(c) and some width
-
that has a signed area equal to 

f(x)dx?",
pages = "277-279(3)",
url = "http://www.ingentaconnect.com/content/tandf/tmes/2002/00000033/00000002/art00013"
}