A) \[d\in R\]
B) \[\,(0,\,\,\sqrt{2})\]
C) \[(-\,\sqrt{2},\,\,\sqrt{2})\]
D) \[\,(-\sqrt{2},\,\,0)\]
Correct Answer: C
Solution :
\[I\,=\,\int\limits_{a}^{b}{({{x}^{4}}-2{{x}^{2}})\,dx}\] \[f\left( x \right)={{x}^{4}}-2{{x}^{2}}={{x}^{2}}\left( x-\sqrt{2} \right)\left( x+\sqrt{2} \right)\] \[-\sqrt{2}\,\le \,x\,\le \,\sqrt{2}\,\] integration will be greatest negative so for minimum value of I \[\left. \begin{align} & a=-\sqrt{2} \\ & b=\sqrt{2} \\ \end{align} \right)\]You need to login to perform this action.
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