Additional Mathematics 0606 / Straight-line graphs / 3.383.38: Exact integral ∫02ex2/2 dx\int_0^2 e^{x^{2}/2}\,\mathrm{d}x∫02ex2/2dx form0606/13/M/J/24 — Question 4 · 5 marksMark as done · Save for later · Show all solutionsFind ∫02xex2/2 dx\displaystyle\int_{0}^{2} x e^{x^{2}/2}\,\mathrm{d}x∫02xex2/2dx, giving your answer in exact form.[5]▸ Answer▸ Official mark scheme← 3.37: Line meets curve; point on perpendicular bisector3.39: Linear law: e2ye^{2y}e2y against x3x^{3}x3 →