question_answer 1)

Find the area enclosed by the parabola x2 = y and the line y = x + 2. 

Answer:

Given curves area x2 = y                                    ?. (1)             x          0          ±1             y          0          1       and y = x + 2                                               ?.. (2)             x          0          ?2             y          2          0       (1) & (2)                                         Point of intersection area (2, 4), (?1,1)             Required area = Shaded area