Question

How do I solve this?

Make a substitution to express the integrand as a rational function and then evaluate the integral:
I= Integral of sqrt(x+1)/x dx

What I have got so far:

let u=sqrt(x+1), du=1/2sqrtx dx, or dx=2sqrtxdu
u^2 -1=x >> dx=2sqrt(u^2 -1)

so, I=2(int. of (u(sqrt. u^2 -1)/u^2 -1)du
I dont know where to go from here...