∫ (dx)/(x √x^6​​​​​​​ - 1) = ?

Question

Mark (√) against the correct answer of the following:

\(\int \frac{dx}{x\sqrt{x^6 - 1}}=?\)

∫ (dx)/(x √x⁶ - 1) = ?

A. \(\frac{1}{3}sec^{-1}x^3 + C\)

B. \(\frac{1}{3}cosec^{-1}x^3 + C\)

C. \(\frac{1}{3}cot^{-1}x^3 + C\)

D. None of these

Answer 1

Correct answer is A.

Formula :-

Therefore,