Question Number 92486 by Rohit@Thakur last updated on 07/May/20
![The smallest interval [a, b] such that ∫_( 0) ^1 (1/(√(1+x^4 ))) dx ∈ [a, b] is given by](Q92486.png)
$$\mathrm{The}\:\mathrm{smallest}\:\mathrm{interval}\:\left[{a},\:{b}\right]\:\mathrm{such}\:\mathrm{that} \\ $$$$\:\underset{\:\mathrm{0}} {\overset{\mathrm{1}} {\int}}\:\frac{\mathrm{1}}{\sqrt{\mathrm{1}+{x}^{\mathrm{4}} }}\:{dx}\:\in\:\left[{a},\:{b}\right]\:\:\mathrm{is}\:\mathrm{given}\:\mathrm{by} \\ $$