- #1

RadiantL

- 32

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## Homework Statement

Hi so I'm integrating 1/(x-1) but I think it may have two answers and I'm not sure if I'm right or wrong

## Homework Equations

y = 1/(x-1)

## The Attempt at a Solution

well if you integrate this function you would get

y = ln(x-1) (using u substituition)

I think it makes sense, you take the derivative and you get the same thing back.

now... I think there maybe another answer? it looks like this

y = ln(1-x)

if you take the derivative of this function you would get

y = 1/(1-x) χ -1

which would simplify to

y = 1/(x-1)

so yeah... I'm not sure which is the answer y = ln(x-1) or y = ln(1-x)

I believe I am missing something, thanks for the help :)