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http://www.wolframalpha.com/input/?i=integral+x%2Fsqrt%281%2Bx%29

Did I do something wrong again?

i couldn't understand clearly what u did, but it can be simplified to 2/3*(x-2)*sqrt(x+1)

Which part you didn't understand?

u=?

1+x

then denominator is sqrt u

No wonder why you couldn't understand.. That was my mistake :(
Is that clear now?

yeah...u can simplify your final answer by factoring out sqrt(x+1)

if needed.

That's how the answer in my book looks like :S
But thanks!

ohh.. then no need. you were correct all along.
welcome ^_^