Bài tập Toán INTEGRATION 13

Created by T Madas Question 36 (***+) y M y = x − x2 O A x The figure above shows the curve with equation y = x − x2 , x ∈ » The point M is the maximum point of the curve and the point A is one of the x intercepts of the curve Find the exact area of the shaded region, bounded by the curve and the straight line segment joining A and M area = Created by T Madas Created by T Madas Question 37 (***+) y f ( x ) = x2 − x + O x The curve C has equation f ( x ) = x2 − x + , x ∈ » a) Find the area of the finite region bounded by C , the x axis and the straight lines with equations x = and x = , shown shaded in the figure above b) Hence evaluate  f ( − x ) dx 12 , 24 Created by T Madas Created by T Madas Question 38 (***+) y y = x2 − x + M x O The figure above shows the curve with equation y = x2 − x + , x ∈ » The point M is the minimum point of the curve Find the area of the shaded region, bounded by the curve, the y axis and the straight line segment from O to M area = 20 Created by T Madas