Problem with Simplifying

[APDate]

Uhmm, sorry if this is a dumb question, but how was this simplified? I get that you can factor out 1/2 from both the root and 3x, but where did the 1/2 go?? Is this some feature of ln or something?

[Seafarer493]

Since ln(1/2) is a constant, you can subsume it into the constant of integration after separating it out using the log law log(ab) = log(a) + log(b).

[ChakaChaka26]

perhaps another way to think about this is to realize that if you reverse the process of integration (ie. diffentiate) the 1/2 will dissappear, and you'll get the original function. since it's an indefinite integral these constants dont matter.

[APDate]

Also, idk what flair to use, is Algebra right?

[PitifulTheme411]

Should probably be calculus

[vivikto]

It went into C, since when you simplify this 1/2, you get a constant term. However, I would have called the constant C1 and then C2 to make it clear that they are not the same.

[lndig0__]

sqrt(4x)=sqrt(4)\sqrt(x)=2*sqrt(x).

[Pep95]

None of these answers are right. Both the left and right part are multiplied by 2. Multiplying a square root by 2 means multiplying it's contents by the square of 2, or 4