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

[meee]

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?

 

[VietDao29]

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? :)

 

[meee]

ok thanks... yes k = constant

2/(3k) * (kx + (1 / 4) k^2 ) ^(3/2)
is that right?

 

[VietDao29]

You are forgetting the Constant of Integration. :)
Everything else is correct.

 

[meee]

oh yes thanks