please help me with this integral problem:

$\displaystyle \int(x+(x+(x+....)^\frac{1}{2})^\frac{1}{2})^\frac {1}{2}dx=....$

substitution method

$\displaystyle (x+(x+(x+....)^\frac{1}{2})^\frac{1}{2})^\frac{1}{ 2}=y$

$\displaystyle x+(x+(x+....)^\frac{1}{2})^\frac{1}{2}=y^2$

$\displaystyle x+y=y^2$

??????

i've no idea what the next step are.....