∫√(x^2 +2x+3)/(x+1) dx=Sqrt[2 + (1 + x)^2] + Sqrt[2] Log[1 + x] - Sqrt[2] Log[2 + Sqrt[2] Sqrt[2 + (1 + x)^2]]+c∫1/(√(x^2 +2x+3)(x+1)) dx=(Log[1 + x] - Log[2 + Sqrt[2] Sqrt[2 + (1 + x)^2]])/Sqrt[...