The smallest interval \( [a, b] \) such that \( \int_{0}^{1} \frac{1}{\sqrt{1+x^{4}}} d x \in[a,...
The smallest interval \( [a, b] \) such that \( \int_{0}^{1} \frac{1}{\sqrt{1+x^{4}}} d x \in[a, b] \), is
(A) \( \left[\frac{1}{\sqrt{2}}, 1\right] \)
(B) \( [0,1] \)
(C) \( \left[\frac{1}{2}, 1\right] \)
(D) \( \left[\frac{3}{4}, 1\right] \)
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