Answer:
[tex]\boxed{2ln (\sqrt{x} + 1 ) + c}[/tex]
Step-by-step explanation:
[tex]\int\limits {\frac{1}{x + \sqrt{x} } } \, dx[/tex]
[tex]= \int\limits {\frac{1}{\sqrt{x} (\sqrt{x} + 1 )} } \, dx[/tex]
[tex]= \int\limits {\frac{2}{(\sqrt{x} + 1 )} } \, d(\sqrt{x} + 1 )[/tex]
[tex]= 2ln (\sqrt{x} + 1 ) + c[/tex]
