question_answer 8)

Find the area bounded by the parabola y = x2 and y = |x|. 

Answer:

Given curves are             y = x2       ?.. (1)  y = |x| ?.. (2)             For (1), y = x2                   For (2), y = |x|             (1) and (2)            or x2 = ? x        x(x + 1) = 0           x = 0, ?1            y = 0, 1       Points of intersection of given curves area (0, 0), (?1,1)  and (1, 1)       Required area = Shaded area