1. Indefinite integral

Having no luck with this question. Any help would be great.

Give an expression for the indefinite integral

Integral of 1/(sqrt x) (1+sqrt x)^2 dx (x>0)

2. Originally Posted by offahengaway and chips
Having no luck with this question. Any help would be great.

Give an expression for the indefinite integral

Integral of 1/(sqrt x) (1+sqrt x)^2 dx (x>0)
do a substitution. $\displaystyle u = 1 + \sqrt{x}$

you will end up with $\displaystyle 2 \int u^{-2}~du$

which i am sure you can handle

3. I would also use the substitution method, but I did this to make it look different (not really sure if it helps):