## Problem #6.9, MA598R, Summer 2009, Weigel

$ \text{Suppose} f, f' \in L^{1}(\mathbb{R}), f \in \mbox{AC}(I) \text{ for all bounded intervals } I. $

$ \text{Show that }\int_{\mathbb{R}}{f'} = 0. $

(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

$ \text{Suppose} f, f' \in L^{1}(\mathbb{R}), f \in \mbox{AC}(I) \text{ for all bounded intervals } I. $

$ \text{Show that }\int_{\mathbb{R}}{f'} = 0. $

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