Question

Integral (2x)/(x-4) dx

Answer 1

I tried letting u=x-4. And the x=u+4. Can this work?

Answer 2

u= x-4
x=u+4
2x=2u +8
so the integral becomes
integral of (2u+8)/u

Answer 3

yes that will work

Answer 4

Then I get integral 2 + (8/u) du

Answer 5

yes

Answer 6

2u + 8Ln(u) +C