The value of \[\int_{\,0}^{\,\sqrt{2}}{[{{x}^{2}}]\,dx},\] where [.] is the greatest integer function [AIEEE 2002]

The value of \[\int_{\,0}^{\,\sqrt{2}}{[{{x}^{2}}]\,dx},\] where [.] i

1.	The value of \[\int_{\,0}^{\,\sqrt{2}}{[{{x}^{2}}]\,dx},\] where [.] is the greatest integer function [AIEEE 2002]
A.	\[2-\sqrt{2}\]
B.	\[2+\sqrt{2}\]
C.	\[\sqrt{2}-1\]
D.	\[\sqrt{2}-2\]
Answer» D. \[\sqrt{2}-2\]

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The value of \[\int_{\,0}^{\,\sqrt{2}}{[{{x}^{2}}]\,dx},\] where [.] is the greatest integer function [AIEEE 2002]

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