Relay-Version: version B 2.10 5/3/83; site utzoo.UUCP Posting-Version: version B 2.10.1 6/24/83; site pucc-i Path: utzoo!linus!decvax!harpo!eagle!hou5h!hou5a!hou5d!hogpc!houxm!ihnp4!ixn5c!inuxc!pur-ee!CSvax:Pucc-H:Pucc-I:ags From: CSvax:Pucc-H:Pucc-I:ags@pur-ee.UUCP Newsgroups: net.math Subject: 0=1 (different proof) Message-ID: <142@pucc-i> Date: Mon, 12-Sep-83 15:22:14 EDT Article-I.D.: pucc-i.142 Posted: Mon Sep 12 15:22:14 1983 Date-Received: Tue, 13-Sep-83 15:13:00 EDT Organization: Purdue University Computing Center Lines: 20 Here is a different "proof" that 0=1 for you calculus fans. Take the basic integration-by-parts formula: {integral} u dv = uv - {integral} v du and let u = 1 / log x, v = log x. Then du = - (1/x) * (1/log x)**2 dx and dv = dx / x. Substituting: {integral} dx / (x log x) = 1 + {integral} dx / (x log x) Cancelling like terms: 0 = 1. Dave Seaman pur-ee!pucc-I!ags