Question

14) Find the area of the region bounded by the curve ; y= 2x-x2 and the Y-axis​

Answer 1

Answer:

Find by integration the area of the region bounded by the curve y=2x-x^2 and the x-axis. Clearly , x2=-y is a downward parabola with its vertex at (X =0, Y=0 ). Hence the required area is 4/3 sq units .