Integrate the following function: ∫(1)/(x√(1-ln^2(x)))dx. Which of the following options represents the correct integral?
A) ∫(1)/(x√(1-ln^2(x)))dx,
B) ∫(1)/(x√(1+ln^2(x)))dx,
C) ∫(1)/(x√(1+ln(x)))dx,
D) ∫(1)/(x√(1-ln(x)))dx.