Determine the area enclosed by the curve y = x and the X-axis between x = 0 and x = .

Step-by-step solution

The area enclosed by the curve y = x and the X-axis between x = 0 and x = is given by the definite integral of x from 0 to . Area = ₀^ x , dx = [- x]₀^ = -( - 0) = -(-1 - 1) = 2