Integrate the following expression: (2e^(x))/((e^(x)+3)²)dx, where x ranges from ln5 to ln9. Which of the following options represents the correct solution?

A) ∫(ln5)^(ln9) (2e^(x))/((e^(x)+3)²)dx
B) ∫(ln5)^(ln9) (2e^(x))/((e^(x)+3)²) dx
C) ∫(ln5)^(ln9) (2e^(x))/((e^(x)+3)²) dx
D) ∫(ln5)^(ln9) (2e^(x))/((e^(x)+3)²) dx