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JEE Math Practice Question

Let $${\rm I} = \int\limits_a^b {\left( {{x^4} - 2{x^2}} \right)} dx.$$ If I is minimum then the ordered pair (a, b) is -

  1. A.$$\left( {\sqrt 2 , - \sqrt 2 } \right)$$
  2. B.$$\left( {0,\sqrt 2 } \right)$$
  3. C.$$\left( { - \sqrt 2 ,\sqrt 2 } \right)$$
  4. D.$$\left( { - \sqrt 2 ,0} \right)$$

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