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Definite Integration question

2021 · 26 Aug · Shift 1 · Q31
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  5. /2021 · 26 Aug · Shift 1 · Q31

Definite Integration question

2021 · 26 Aug · Shift 1 · Q31

JEE MainMathematicsDefinite IntegrationMCQ+4 / −1
The 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​∫2​1​​((x−1x+1​)2+(x+1x−1​)2−2)21​dx is :
  1. A
    loge 4
  2. B
    loge 16
  3. C
    2loge 16
  4. D
    4loge (3 + 2 2{\sqrt 2 }2​)
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