- [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]
Math Applications HL Paper 1 (May 2025, TZ2)
(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]