Whats the intergral of sqrt(25-9x^2)?

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Discussion Overview

The discussion centers around the integral of the function sqrt(25-9x^2), exploring methods for solving the integral, including potential substitutions and checking results against computational tools.

Discussion Character

  • Mathematical reasoning, Homework-related, Debate/contested

Main Points Raised

  • One participant suggests factoring out a 25 from under the radical and using trigonometric substitution.
  • Another proposes factoring out a 9 instead, leading to a different form of the integral and also suggesting the use of trigonometric substitution.
  • A participant mentions using an online integral calculator to verify results.
  • There is a correction regarding the spelling of "integral," with multiple participants noting the misspelling and discussing its implications humorously.
  • A later reply provides a humorous historical reference to the term "intergral," contrasting it with the concept of the Holy Grail.

Areas of Agreement / Disagreement

Participants express differing opinions on the method of substitution to use for the integral, and there is no consensus on the correct approach. Additionally, there is a light-hearted disagreement regarding the spelling of "integral."

Contextual Notes

The discussion includes various assumptions about mathematical techniques and the applicability of online tools for verification, which remain unresolved.

grizz45
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Whats the intergral of sqrt(25-9x^2)?
 
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Factor out a 25 from under the radical and use trig substitution.
 


rochfor1 said:
Factor out a 25 from under the radical and use trig substitution.
I would factor out 9 from under the radical to give 1/3*sqrt(25/9 - x^2) and use trig substitution. After I got the antiderivative I might then go to the Wolfram site to check my result against theirs.
 


BTW, there is no such word as "intergral."
 


Mark44 said:
BTW, there is no such word as "intergral."
Nonsense.

The intergral, or rather, in German, Der Inter-Graal, was the cup Jesus drank from in the wedding in Kanaan(?) where he made water into wine.

This to distinguish it from the grail, or Der Graal, the cup he drank from at the last Supper.
 


OK, let me be more specific: there's no such word as "intergral" in English. And it appears that there is no such word in German, either. Inter-Graal != intergral.:smile:
 

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