What does this line of Isaac Newton's rap video mean?

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Discussion Overview

The discussion revolves around a line from a rap video featuring Isaac Newton, specifically a reference to an integral that he recalls. Participants explore the historical context of the integral and the concept of imaginary numbers, questioning whether Newton encountered an unsolvable integral.

Discussion Character

  • Exploratory, Conceptual clarification, Debate/contested

Main Points Raised

  • One participant asks for clarification on the historical reference related to an integral that Newton could not solve.
  • Another participant presents a specific integral, sec y dy from zero to one-sixth of pi, and connects it to the concept of imaginary numbers, noting that Newton and his contemporaries dismissed these numbers as fanciful.
  • A limerick is shared that mirrors the content of Newton's line, suggesting a playful connection between the integral and the rap video.
  • One participant mentions having a book that contains the integral but is unable to locate the relevant section.
  • A participant expresses that they sought clarification on the forum rather than relying solely on external sources, indicating a desire for community engagement.

Areas of Agreement / Disagreement

Participants express varying interpretations of the integral and its implications, particularly regarding the historical treatment of imaginary numbers. There is no consensus on whether Newton's integral was indeed unsolvable or how it relates to the rap video.

Contextual Notes

The discussion includes assumptions about the historical understanding of imaginary numbers and their acceptance during Newton's time, which may not be universally agreed upon. The connection between the rap video and the integral remains speculative.

Jamin2112
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Go to 1:24 of this video:

He recalls some integral he wrote at a young age:

" ... times the sixty-fourth power of ... what?" and looks confused. At 1:44 Neil Degrasse Tyson says, "By the way, the answer to your little calculation is i."

Can someone explain the historical reference to me? Was there some integral that Sir Isaac Newton could never solve?
 
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The integral sec y dy from zero to one-sixth of pi is log to base e of the square root of three times the sixty-fourth power of what?!

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(While the concept of imaginary numbers and i existed during Newton's time, he and other great thinkers of the time (such as René Descartes, that later solved the equation with "Descartes' i") dismissed the idea of imaginary numbers as fanciful. Thus, despite his best powers of deduction, Newton was stymied by the equation he wrote and thought it unsolvable.)

This also comes from a calculus limerick which reads similar to Newton's line:

"The integral sec y dy (pronounced "seek y dee y'")
From zero to one-sixth of pi
Is log to base e
Of the square root of three
Times the 64th power of
i"

http://epicrapbattlesofhistory.wikia.com/wiki/Sir_Isaac_Newton_vs_Bill_Nye/Rap_Meanings
 
I have the book in which this is written in but I can't find what section
 

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