The area bounded by the curves y = x - 1 + x - 2 and y = 3 is equal to

Step-by-step solution

Given: y = f x = x - 1 + x - 2 ⇒ f x = 3 - 2 x :     x < 1 1 ;                   1 ≤ x < 2 2 x - 3 ;       x ≥ 2 Let us draw diagram of y = f x   &   y = 3 we get, Required area is the area of trapezium which is Area = 1 2 1 + 3 × 2 = 4 sq. units