Let f : [−π/2, π/2] → ℝ be a differentiable function such that f(0) = 1/2. If _ x 0 x _0^xf(t)dt e^ x^2 - 1 =...

Question

Let f : [−π/2, π/2] → ℝ be a differentiable function such that f(0) = 1/2. If _ x 0 x _0^xf(t)dt e^ x^2 - 1 = , then 8α² is equal to :

Accepted Answer

(D)

JEE Main 2024 Mathematics question