# Integral: x/1+sqrt(x)

## Main Question or Discussion Point

Hey guys,

I could really use some hints on how to solve the integral $$\int \frac{x}{1+\sqrt{x}} dx$$
I tried some substitutions, and doing some manipulations on the expression, with no solution. Any help would be much appreciated.

Regards,

Kerbox

$$1+\sqrt{x} = t$$

yea, tried that. but I end up with an expression where x cant be canceled. unless Im missing something here.

cristo
Staff Emeritus
Post your steps, and we can see if you made a mistake.

morphism
Homework Helper
Notice that x = (t - 1)^2.

you could use the residue theorem from complex analysis (I think)

you could use the residue theorem from complex analysis (I think)
The residue theorem does not pertain to antiderivatives.

Gib Z
Homework Helper
I helped someone else on exactly the same integral in scienceforums.net and I have a really good feeling your the same person, since your post is identical..and your username is the same >.<