Efficient Integration: v/(v^2 + 4) Simplified

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Homework Help Overview

The discussion revolves around the integration of the function v/(v^2 + 4). Participants are exploring the implications of the numerator and how it affects the integration process, particularly in relation to logarithmic functions.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants are attempting to clarify the integration of the function and questioning the role of the numerator in relation to known integration results. There is also a focus on the correct terminology for parts of a fraction.

Discussion Status

The discussion includes a mix of attempts to clarify misunderstandings and corrections regarding terminology. Some participants have expressed that they have resolved their confusion, while others continue to question the integration process and the validity of certain statements.

Contextual Notes

There are indications of typographical errors and misunderstandings regarding basic mathematical terminology, which may affect the clarity of the discussion. Participants are navigating these issues while trying to engage with the integration topic.

Aaron Curran
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I know that if it were 1/(v2+4) then it would be ln(v2+4) but the other v in the numberator is throwing me off, any help would be much appreciated!
 
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Never mind, I figured it out!
 
Aaron Curran said:
I know that if it were 1/(v2+4) then it would be ln(v2+4)

No, it wouldn't. Can you see why?

but the other v in the numberator is throwing me off, any help would be much appreciated!

There is no such thing as a "numberator". The proper terms for the parts of a fraction are "numerator" and "denominator". You should have learned this long before starting calculus.
 
SteamKing said:
No, it wouldn't. Can you see why?
There is no such thing as a "numberator". The proper terms for the parts of a fraction are "numerator" and "denominator". You should have learned this long before starting calculus.

It was a typo haha, I've worked it out now anyway, feel very stupid for making this thread :sorry:
 
Aaron Curran said:
I know that if it were 1/(v2+4) then it would be ln(v2+4)
No, that is incorrect. You can verify what I said by differentiating ln(v2 + 4), which does not result in 1/(v2 + 4).
Aaron Curran said:
but the other v in the numberator is throwing me off, any help would be much appreciated!
 
Don't tell us you have got the answer, tell us the answer you have got!
 
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