`intsqrt((1+x)/(x))dx`

Answer

`sqrt(x+x^(2))+(1)/(2)log|x+(1)/(2)+sqrt(x+x^(2))|+C`

Explanation

`I=int((sqrt(1+x))/(sqrt(x))xx(sqrt(1+x))/(sqrt(1+x)))dx=int((1+x))/(sqrt(x(1+x)))dx=int((x+1))/(sqrt(x^(2)+x))`.