P.o.t.W. #5 Solution
total area of shape \( = 2 + 2\int_0^1 {\left( {1 - {x^2}} \right)dx = 2 + 2\left[ {x - \frac{1}{3}{x^3}} \right]} _0^1 = 2 + 2\left[ {\left( {1 - \frac{1}{3}} \right) - 0} \right] = 2 + \frac{4}{3} = \frac{{10}}{3} thus, the area of the shaded region in the figure below needs to be \(\frac{5}{3} find equation of the line passing through the points A and C: gradient of AC...