Question

what is the integration of( x+2)/(x+1)dx ?

Answer 1

divide firsr

Answer 2

We can either divide it out or we can do something along the lines of this:
let u = x+1
du = dx.
Becauseu = x+1, the numerator is just u + 1

\[\int\limits_{}^{}\frac{ u + 1 }{ u }du \implies \int\limits_{}^{}(\frac{ u }{ u }+ \frac{ 1 }{ u })du \implies \int\limits_{}^{}(1 + \frac{ 1 }{ u })du\]