Question

will u integrate this (x+6)dx/(x+2)^2

Answer 1

\[\LARGE \int\limits \frac{(x+6)dx}{(x+2)^2}\]
Use partial fractions

Answer 2

Write
\[
\frac {x+6}{(x+2)^2}= \frac {x+2+4}{(x+2)^2}= \frac {x+2}{(x+2)^2}+ \frac {4}{(x+2)^2}\\

\frac {1}{(x+2)}+ \frac {4}{(x+2)^2}
\]