Integrating sqroot(kx + (1/4)(k^2)) using basic integration techniques

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Homework Help Overview

The discussion revolves around integrating the expression involving the square root of a linear function, specifically sqroot(kx + (1/4)(k^2)), within the context of basic integration techniques.

Discussion Character

  • Exploratory, Mathematical reasoning

Approaches and Questions Raised

  • The original poster seeks clarification on the solvability of the integral and expresses a desire to understand the integration process. Some participants suggest using u-substitution as a potential approach, while others confirm the constant nature of k.

Discussion Status

Participants have engaged in a back-and-forth regarding the integration process, with some guidance provided on the use of u-substitution. There is acknowledgment of a correct integration step, though a reminder about the constant of integration is noted.

Contextual Notes

The discussion includes a focus on the proper handling of constants and integration techniques, with an emphasis on ensuring all components of the integral are addressed.

meee
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help me integrate this please

sqroot( kx + (1/4)(k^2) ) dx

i wud like to know whether its solvable? and how to do it?
 
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So your k is a constant right?
To do this kind of problem, we usually use the u-substitution:
u = kx + 1 / 4 k2
Ok, can you go from here? :)
 
ok thanks... yes k = constant

2/(3k) * (kx + (1 / 4) k^2 ) ^(3/2)
is that right?
 
You are forgetting the Constant of Integration. :)
Everything else is correct.
 
oh yes thanks
 

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