Hello, I am currently working on a problem that requires the integration of an expression that I can't seem to figure out. The problem goes:

Integral from 0 to 2 of: (((t^2)+2t+2)/((1+t)^4))^1/2

So far, I know that I have to use u-substitution and I set u = 1+t, so du = dt. Now, i have

Integral of: ((u^2 + 1)^1/2)/(u^2)

but after this, I don't know how to continue integrating. Could anyone please help me?????