Question

The value of $\smallint \frac{{dx}}{{x\,\, + \,\,\sqrt {x\,\, - \,\,1} }}$ is

Accepted Answer

$\log \,\,\left( {x\,\, + \,\,\sqrt {x - 1} } ight) - \,\,\frac{2}{{\sqrt 3 }}\,\,{	an ^{ - 1}}\,\,\left( {\frac{{2\,\sqrt {x\,\, - \,\,1} + \,\,1}}{{\sqrt 3 }}} ight)\,\, + \,\,c$

Answer

$\log \,\,\left( {x\,\, + \,\,\sqrt {x - 1} } \right)\,\, + \,\,{\sin ^{ - 1}}\,\,\left( {\sqrt {\frac{{x\,\, - \,\,1}}{x}} } \right)\,\, + \,\,c$

Answer

$\log \,\,\left( {x\,\, + \,\,\sqrt {x - 1} } \right)\,\, + \,\,c$

Answer

None of the above

JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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