Integrate the following expression: ∫(3√2)^6 (1)/(t³√(t²-9)) dt. Which of the following options represents the correct solution?A) ∫(3√2)^6 (1)/(t³√(t²-9)) dt.B) ∫(3√2)^6 (1)/(t³√(t²-9)) dt.C) ∫(3√2)^6 (1)/(t³√(t²-9)) dt.D) ∫(3√2)^6 (1)/(t³√(t²-9)) dt.