Question

The area (in sq. units) of the region described by A = {(x, y)|y  ≥  x² − 5x + 4, x + y  ≥  1, y ≤ 0} is:

(A) 7/2

(B) 19/6

(C) 13/6

(D) 17/6

Answer 1

The correct option is (B) 19/6.

Explanation:

Area along x axis - 

Let y₁ = f₁ (x) and y₂ = f₂ (x) be two curve then area bounded between the curves and the lines 

x = a and x = b is

Wherein

Point of intersection of 

y= x² - 5x + 4 and x + y = 1 are x = 1,3 at x = 1, y = 0; x = 3, y = -2