Question

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

Answer 1

If we add 1 and subtract 1 up top, what does that simplify to?

Answer 2

\[\int \frac{x}{x+1}dx\]
\[\int \frac{x+1-1}{x+1}dx\]
\[\int \frac{x+1}{x+1}-\frac{1}{x+1}dx\]
\[\int 1-\frac{1}{x+1}dx\]