# Integral: x/1+sqrt(x)

1. Jan 22, 2007

### Kerbox

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

2. Jan 22, 2007

### neutrino

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

3. Jan 22, 2007

### Kerbox

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

4. Jan 22, 2007

### cristo

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

5. Jan 22, 2007

### morphism

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

6. Jan 23, 2007

### thebuttonfreak

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

7. Jan 23, 2007

### Crosson

The residue theorem does not pertain to antiderivatives.

8. Jan 23, 2007

### Gib Z

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 >.<