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Math Applications HL Paper 1 (May 2025, TZ2)

  1. [Maximum mark: 7]

(a) Find the indefinite integral ∫ x e⁻ˣ² dx. [4]

(b) Hence find the area bounded by the x‑axis, the curve y = x e⁻ˣ² and the line x = k. Give your answer in terms of k. [3]