1.

The smallest interval \[[a,\,\,b]\] such that \[\int_{0}^{1}{\frac{dx}{\sqrt{1+{{x}^{4}}}}}\in [a,\,\,b]\] is given by

A.                 \[\left[ \frac{1}{\sqrt{2}},\,\,1 \right]\] 
B.                 \[[0,\,\,1]\]
C.                 \[\left[ \frac{1}{2},\,\,2 \right]\]               
D.                 \[\left[ \frac{3}{4},\,\,1 \right]\]
Answer» B.                 \[[0,\,\,1]\]


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