Question

Can you help solve

Integrate 2x/(x-5) using u-substitution

Answer 1

u=x-5

Answer 2

then
x = u+5
and
du =dx
\[2 \int\limits \frac{u+5}{u} du = 2 \int\limits 1 + 5u^{-1} du\]

Answer 3

I f you write it as follows it would be come easiers
\[
\frac{2 x}{x-5}=\frac{10}{x-5}+2
\]

Answer 4

\[2+\frac{ 5 }{ x-5 }+c\]

Answer 5

so would this be the answer?

Answer 6

You forgot to times 2 as well as to integrate \(5u^{-1}\)