JEE Advanced 2023 Paper 2 Mathematics Q8

Mathematics

Problem

For x ∈ ℝ, let tan⁻¹(x) ∈ (−π/2, π/2). Then the minimum value of the function f : ℝ → ℝ defined by f(x) = ∫₀ˣᵗᵃⁿ⁻¹ˣ e^(t − cos t)/(1 + t²⁰²³) dt is ___.

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