The smallest interval [ a , ~b ] such that _ 0 ^ 1 1 1+x^ 4 d x [a, b] . is given by
Mathematics · JEE Main · NTA Exams — Integral Calculus
The smallest interval \([\mathrm{a}, \mathrm{~b}]\) such that \(\int_{0}^{1} \frac{1}{\sqrt{1+x^{4}}}\) \(d x \in[a, b] .\) is given by
- \([1 / \sqrt{2}, 1]\)
- \([0,1]\)
- \([1 / 2,1]\)
- \([3 / 4,1]\)
Answer
(D) [3 / 4,1]
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