Integrate the following expression: ∫(1)/((1+4x2)^((3)/(2)))dx. Which of the following options represents the correct solution?

A) ∫(1)/((1+4x2)^((3)/(2)))dx
B) ∫(1)/((1-4x2)^((3)/(2)))dx
C) ∫(1)/((1+2x2)^((3)/(2)))dx
D) ∫(1)/((1-2x2)^((3)/(2)))dx