question_answer 14)

Find the area bounded by curves y = x2 + 2, y = x,x = 0 and x = 3. 

Answer:

Given curves area                y = x2 + 2                ? (1)    y = x                 ?. (2)       x = 0                       ? (3)    x = 3                 ?. (4)       For (1), y = x2                   For (2), y = x          Solving (1) and (2), x2 ? x + 2 = 0 (1)   and (2) do not intersect at real points             Required area = Shaded area