Hey everyone, just wondering whats the difference when I integrate:

it be integrated in 2 ways

OR

are those 2 solutions different? or is there some log manipulation to make

Printable View

- May 6th 2011, 08:04 PMaoninIntegrating to produce a log function
Hey everyone, just wondering whats the difference when I integrate:

it be integrated in 2 ways

OR

are those 2 solutions different? or is there some log manipulation to make

- May 6th 2011, 08:33 PMDeveno
as you can see, -ln(x-1), and -ln(-x+1) have different domains.

the first function is only defined for x > 1, and the second is only defined for x < 1.

to circumvent these difficulties, one often sees the antiderivative as -ln|x-1|, which is defined for all x ≠ 1. - May 7th 2011, 03:29 AMaonin
ah ok i get what you mean now. Thanks for the help :D