Question

$\smallint \,\,\frac{{{x^2}\,\, - \,\,1}}{{x\,\sqrt {\left( {{x^2}\,\, + \,\,\alpha \;x\,\, + \,\,1} \right)\,\,\left( {{x^2}\,\, + \,\,\beta \;x\,\, + \,\,1} \right)} }}\,\,dx$ is equal to

Accepted Answer

$\log \,\,\left\{ {\,\frac{{\sqrt {{x^2} + \,\,\alpha \;x\,\, + 1} \,\, + \,\,\sqrt {{x^2} + \,\,\beta \;x\,\, + 1} }}{{\sqrt x }}\,} \right\}\,\, + \,\,C$

Answer

$2\,\,\log \,\,\left\{ {\,\frac{{\sqrt {{x^2} + \,\,\alpha \;x\,\, + 1} \,\, - \,\,\sqrt {{x^2} + \,\,\beta \;x\,\, + 1} }}{{\sqrt x }}\,} \right\}\,\, + \,\,C$

Answer

$\log \,\,\left\{ {\,\sqrt {{x^2} + \,\,\alpha \;x\,\, + 1} \,\, - \,\,\sqrt {{x^2} + \,\,\beta \;x\,\, + 1} \,} \right\}\,\, + \,\,C$

Answer

None of these

JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

More Questions from INDEFINITE INTEGRATION