A little help with an integral

[Metalloid]

I'm doing my diff eq homework and I keep running into integrals that are similar to this, and I can't remember how to do them.

As as an example....

what is the integral of

dx/(x-14)

It's ruining my night

Any help much appreciated

 

[BRObedoza]

ln | x-14 | ?

 

[cirthix]

let u = x-14
du=dx
now you have the integral of du/u
which integrates to ln|u| +c
so you substitue for u and get
ln|x-14|+c

 

[BRObedoza]

oh yeah forgot the constant haha

 

[Metalloid]

That's what I thought, but I wasn't sure if you could bring the 14 along inside the ln().

Thanks a bunch