Partial Fractions Help: Integrating √(1+x^2)/x for Homework

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Homework Help Overview

The discussion revolves around the integration of the function √(1+x^2)/x, with a focus on the application of partial fractions in the process. Participants are exploring the appropriateness of using partial fractions for this particular integral.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Some participants express uncertainty about how to apply partial fractions to the given integral, noting that the denominator is simply 'x'. Others suggest that the problem may not require partial fractions at all, questioning the necessity of that method for this integral.

Discussion Status

The discussion is ongoing, with participants sharing differing views on the applicability of partial fractions. Some guidance has been offered regarding the method, but there is no consensus on the best approach to take for this integral.

Contextual Notes

Participants are grappling with the requirement to use partial fractions, despite some indicating that it may not be suitable for the problem at hand.

Moenga
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Homework Statement


∫▒√(1+x^2 )/x dx


Homework Equations





The Attempt at a Solution


I don't know how to break this up. I know we break partial fraction problems up based on their denominator, however the denominator i this problem is just 'x'.
 
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Moenga said:

Homework Statement


∫▒√(1+x^2 )/x dx


Homework Equations





The Attempt at a Solution


I don't know how to break this up. I know we break partial fraction problems up based on their denominator, however the denominator i this problem is just 'x'.

Just write it as the sum of two fractions. No partial fractions needed.
 
I know its simple to do it that way. The problem is asking to use partial fractions
 
That problem is not appropriate to partial fractions. The method makes no sense for it.
 

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