Let f:[a,b]-> R be an integrable function.
Show that the graph of f in R^2 has zero content.
(hint: given a partition P of [a,b], interpret Spf-spf as a sum of areas of rectangles that cover the graph of f. )
Not sure where to start, any help?
Let f:[a,b]-> R be an integrable function.
Show that the graph of f in R^2 has zero content.
(hint: given a partition P of [a,b], interpret Spf-spf as a sum of areas of rectangles that cover the graph of f. )
Not sure where to start, any help?