What's the integral of u''(x)/u'(x)?

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Homework Help Overview

The discussion revolves around the integral of the second derivative of a function divided by its first derivative, specifically u''(x)/u'(x). This falls within the subject area of calculus, particularly focusing on integration techniques and derivative relationships.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants explore the use of substitution, particularly suggesting that if v = u'(x), then u''(x) can be expressed in terms of v. There is a focus on transforming the integral accordingly and considering the implications of this substitution.

Discussion Status

The discussion is active with participants offering different approaches to the integral. Some guidance has been provided regarding substitution, and there is an ongoing exploration of how to express the integral in terms of the new variable v. There is also a side conversation about the pronunciation of u''.

Contextual Notes

Participants are discussing the integral without providing a complete solution, and there is an emphasis on understanding the relationship between the derivatives involved. The conversation includes clarifications on terminology related to derivatives.

kasse
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What's the integral of u''(x)/u'(x)?
 
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you need to do u substitution
 
kasse said:
What's the integral of u''(x)/u'(x)?

If you were to call v = u'(x), what would u''(x) be? You can make a new integral in terms of v. If the result tells you what v is, you can now substitute back to find an expression in terms of u.
 
Of course, thank you!
 
Btw, how is u'' to be pronounced?

u prime prime? u double prime?
 
kasse said:
Btw, how is u'' to be pronounced?

u prime prime? u double prime?

"u double prime" is typical.
 

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