JEE Main 202126 Aug, Morning shiftMathematicsHardIntegral Calculus369× since 2002The value of ∫−1212((x+1x−1)2+(x−1x+1)2−2)12dx\int\limits_{{{ - 1} \over {\sqrt 2 }}}^{{1 \over {\sqrt 2 }}} {{{\left( {{{\left( {{{x + 1} \over {x - 1}}} \right)}^2} + {{\left( {{{x - 1} \over {x + 1}}} \right)}^2} - 2} \right)}^{{1 \over 2}}}dx}2−1∫21((x−1x+1)2+(x+1x−1)2−2)21dx is :AOption A. log_e 4BOption B. log_e 16COption C. 2log_e 16DOption D. 4log_e (3 + 22{\sqrt 2 }2)CheckSkip · show solution
