Try the substitution ##u=\sqrt{1+y}## and see where that gets you.
#3
PhysicsLad
21
2
I actually tried before posting. Once you make the substitution there are two ways to attempt the problem, one by doing u^2 = 1+y and then differentiating, and the other got me to 2*(1+y)^(1/2)du = dy. None of these seemed to make the integral any easier.