Question

Evaluate the integral using integration by parts where possible.
x/((x-9)^2)

Answer 1

exact same problem yesterday, and there is still no need for parts. in fact i can't really see how you would use it
use a u-sub

\[u=x-9,du=dx, x=u+9\] get
\[\int\frac{u+9}{u^2}du\]
\[\int \frac{du}{u}+9\int\frac{du}{u^2}du\]

Answer 2

can do these quickly
\[\ln(u)-\frac{9}{u}\]

Answer 3

Where's the ln(u) coming from?