November 2019 1 123 Report
The curve C has equation y=f(x)=xe^{-x^{2}}
(i) Sketch the curve C (Jelaskan metode yang tepat untuk membuat grafik tanpa bantuan alat, misalnya tabel dan lainnya)
(ii) Find the exact coordinates of the turning points of the curve
(iii) Use the substution u=x^{2} to find \int\limits^n_0 {f(x)} \, dx for n\ \textgreater \ 0. Hence find the area of the region between the curve and the positive x-axis
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