Question

\[\int\limits \frac{x}{x ^{2}+6x}dx\]

Answer 1

Nevermind I should read more carefully, this identity is equal to

\[\frac{1}{x+6}\]

Answer 2

how???

Answer 3

So you will get

\[ \large \int \frac{1}{x+6} dx = \ln |x+6| +C\]

Answer 4

\[ \frac{x}{x^2+6}=\frac{x}{x(x+6)}=\frac{1}{x+6}\]

Answer 5

the first one should be x^2+6x

Answer 6

thanks. :)

Answer 7

welcome