Spot The Flaw

Standard

Many of you must have seen numerous examples of such situations where we get an absurd result and have to spot flaw in proof.

A famous one is the “algebraic proof of 1=0

Here I came across a “Calculus based proof of 1=0” in A Mathematical Mosaic which I wanted to share with you.

It is based on “Integration by Parts” formula, which is:

1

So, the proof is of this form:

2

3

4

5

2 responses

  1. Since we are doing indefinite integration, an arbitrary constant can be added on both sides. It does not change the integral.

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    • Correct.
      My intension behind asking this question was to introduce you to integration instead of anti-derivative . If you are curious, can check about integration of 1/x via maclaurin Series.

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