Question

Im having a problem Integrating dx/(2+x^(1/2))
When i used U substitution u^2=x and 2udu=dx i got 2udu/(2+u) but i realy dont know what to do now?

Answer 1

Try to substitute:
\[y = 2 + \sqrt{x}
\\ dy = \frac{1}{2\sqrt{x}}dx = \frac{1}{2(y-2)}dx\]

Answer 2

yes! I solved it now, thanks! That last step when you changed x^1/2 to (y-2) helpt a lot :D