Question

How to integrate (4-4x)/(1-2x) dx?

Answer 1

\[\frac{ 4-4x }{ 1-2x }dx\]

Answer 2

\[\frac{4-4x}{1-2x}=\frac{2(1-2x)+2}{1-2x}=2+\frac{2}{1-2x}\]

Answer 3

do you know how to integrate each of those terms?

Answer 4

Yes, but how did you get \[2+\frac{ 2 }{ 1-2x }\]

Answer 5

my middle step there

Answer 6

4-4x=2(1-2x)+2

Answer 7

then you just separate the fraction

Answer 8

Oh! Now I got it! How come I didn't thought of that before? :) Thank you!

Answer 9

you can also just use straight up long division

Answer 10

You're very helpful!

Answer 11

lol thanks