For instance, among the functions which are continuous and nonnegative in 0 < x < 1, and which have the value 1 at x = 1, there is none whose graph bounds the least area between the x-axis and the lines x = 0 and x = 1.
—from Over and Over Again, a book by Gengzhe Chang, Keng-che Chʻang, Thomas W. Sederberg
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