JEE Mains · Maths · STD 12 - 8. Application and integration
Let \(I = \int_a^b {\left( {{x^4} - 2{x^2}} \right)dx} \). If \(I\) is minimum then the ordered pair \((a, b)\) is
- A \(\left( {0,\sqrt 2 } \right)\)
- B \(\left( { - \sqrt 2 ,0} \right)\)
- C \(\left( {\sqrt 2 , - \sqrt 2 } \right)\)
- D \(\left( {-\sqrt 2 , \sqrt 2 } \right)\)
Answer & Solution
Correct Answer
(D) \(\left( {-\sqrt 2 , \sqrt 2 } \right)\)
Step-by-step Solution
Detailed explanation
\(\int\limits_a^b {\left( {{x^4} - 2{x^2}} \right)dx} \) From figure min area is \((-\sqrt{2}, \sqrt{2})\)
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