Integrate the following expression: (1)/(sqrt(x²+4x+8))dx. Which of the following options represents the correct solution?

A) ∫(1)/(sqrt(x²+4x+8))dx
B) ∫(1)/(x+2)dx
C) ∫(1)/(sqrt(x²+4x))dx
D) ∫(1)/(sqrt(x²+4x+4))dx