Question

How do I integrate this? Please help.
2u/(1+u)

Answer 1

\[\frac{ 2u }{ 1+u } du\]

Answer 2

I have tried the integration by parts formula but can't get the answer. -_-

Answer 3

Naw that won't work, you'll have to split it.

Answer 4

How?

Answer 5

Never mind, just do long division, you'll get this.

\[2\int\limits \left( 1 -\frac{ 1 }{ u+1 } \right)du\]

Answer 6

Yeah split it now, after you do long division.

Answer 7

\[2 \int\limits 1 du - 2 \int\limits \frac{ 1 }{ u+1 }du \]

Answer 8

x = u+1 dx = du

Answer 9

So I'll get \[2(u-\ln (1+u))\]?

Answer 10

+C but yup :)

Answer 11

Thank you so much. >_<

Answer 12

Np :P