Created by T Madas Question (**) y y = ( − x )( x + 1) O x The figure above shows the curve with equation y = ( − x )( x + 1) , x ∈ » Find the exact area of the region, bounded by the curve and the x axis, shown shaded in the figure above area = 32 Created by T Madas Created by T Madas Question (**) y y = x + 12 x − 12 O x The figure above shows the curve with equation y = x + 12 x − 12 , x∈», x > The region bounded by the curve, the x axis and the straight lines with equations x = and x = , is shown shaded in the figure Find the exact area of the shaded region area = 86 Created by T Madas Created by T Madas Question (**) y y = x3 − x R2 O R1 x The figure above shows the cubic curve with equation y = x3 − x , x ≥ The curve meets the x axis at the origin O and at the point where x = The finite region R1 is bounded by the curve and the x axis, for ≤ x ≤ The region R2 is bounded by the curve and the x axis, for ≤ x ≤ Show that the area of R1 is equal to the area of R2 proof Created by T Madas