# Cases in which constants can absorb terms

1. Feb 27, 2013

### Duderonimous

1. The problem statement, all variables and given/known data

What are the cases in which constants of integration can and cannot absorb terms and operations and just be redefined as c.

2. Relevant equations

3. The attempt at a solution

As long as I keep redefining my constant of integration I can say

-c=k

ac=k where in any constant including zero

c^(a)=k

Can I say
1/c=k?
ln|c|=k?
sin(c)=k (or any trig function for that matter)

or for these last examples do I need to define the domain of c

2. Feb 28, 2013

### tiny-tim

Hi Duderonimous!
Yes.

But it's usually fairly obvious what you can do.

eg, if it's + 1/C, then obviously C = 0 is a problem that you'll have to deal with separately

(and you'll probably have to deal with C > 0 and C < 0 separately also)