Question bank/JEE Main/Mathematics

Let $I = \int_{a}^{b}\mspace{2mu}\left( x^{4} - 2x^{2} \right)dx.$
If 1 is minimum then the ordered pair (a,b) is

A$(0,\sqrt{2})$B$(\sqrt{2}, - \sqrt{2})$C$( - \sqrt{2},\sqrt{2})$D$( - \sqrt{2},0)$

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$\int_{a}^{b}\mspace{2mu}\left( x^{4} - 2x^{2} \right)dx$
[IMAGE] From figure min area is $\left( - \sqrt{2},\sqrt{2} \right)$

Source: Grass-G / M-22 Mathematics Paper 19 Dec Eng.docx