The area (in sq. units) of the region described by A = x , y | y ≥ x 2 - 5 x + 4 , x + y ≥ 1 , y ≤ 0 is

Step-by-step solution

The given equation is A = x , y |   y ≥ x 2 - 5 x + 4 , x + y ≥ 1 , y ≤ 0 is The equation x 2 - 5 x + 4 is cutting the x - axis at x = 1 , 4 Required area = 1 2 × 2 × 2 + ∫ 3 4 x 2 - 5 x + 4 d x = 2 + x 3 3 - 5 x 2 2 + 4 x 3 4 = 2 + 7 6 = 19 6   s q . u n i t s