(\integral\_{}^{}{\frac{1}{x\sqrt{x^{2} - 1}}\mspace{6mu} dx... | MATH - FUNDAMENTAL INTEGRATION | SolveeIt

$\int_{}^{}{\frac{1}{x\sqrt{x^{2} - 1}}\mspace{6mu} dx =}$

$\cos^{- 1}x + c$

$\sec^{- 1}x + c$

$\cot^{- 1}x + c$

None of these

Answer

None of these

Explanation

$x + \log\lbrack 1 + \sqrt{1 - e^{2x}}\rbrack + c$

$\log\lbrack 1 + \sqrt{1 - e^{2x}}\rbrack - x + c$

$\int_{}^{}\frac{3x^{2}}{\sqrt{9 - 16x^{6}}}\mspace{6mu} dx =$

Question: \(\int_{}^{}{\frac{1}{x\sqrt{x^{2} - 1}}\mspace{6mu} dx =}\)...