The area bounded by the curve y = x with the x -axis from x = π to x = 3.8 is π 2 - a b - π sq. units, then the value of b - a is equal to (where . denotes the fractional part function)

Step-by-step solution

Required Area = Area of Trapezium = 1 2 (Sum of parallel sides) (Distance between them) = 1 2 π + 3.8 3.8 - π = 1 2 π - 3 + 0.8 3.8 - π = 1 2 π - 2.2 3.8 - π = π 2 - 1.1 3.8 - π sq. units ⇒ b = 3.8 , a = 1.1