question_answer 18)

Find the area between the curves y = x and y = x2. 

Answer:

Given curves are                       y = x                             ? (1)                   and  y = x2                                        ?(2)       Solving (1) and (2), we have x = 1, y = 1 and x = 0, y = 0 Point of intersection are (0, 0) and (1, 1) Require area = shaded area