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

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SUMMARY

The integral of u''(x)/u'(x) can be solved using u-substitution, where v is defined as u'(x). This transformation allows for the integration to be expressed in terms of v, simplifying the process. Once the integral is evaluated in terms of v, the result can be substituted back to derive an expression in terms of u. The notation u'' is commonly pronounced as "u double prime."

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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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