Let f be a differentiable function defined on [0, 2 ], such that f(x) 0 and f(x) + _0^xf(t) 1-( _ef(t))^2...

Question

Let f be a differentiable function defined on [0, 2 ], such that f(x) > 0 and f(x) + _0^xf(t) 1-( _ef(t))^2 dt=e, [0, 2 ]. Then (6 _ef ( 6 ) )^2 is equal to ___________

Accepted Answer

27

JEE Main 2023 Mathematics question

Solution