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

Advertisements

2 responses »

    • 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.

      Like

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out / Change )

Twitter picture

You are commenting using your Twitter account. Log Out / Change )

Facebook photo

You are commenting using your Facebook account. Log Out / Change )

Google+ photo

You are commenting using your Google+ account. Log Out / Change )

Connecting to %s