The area bounded by the curves y-1= x, y= x and the X -axis between x =0 and x = is

Step-by-step solution

We have to find the area bounded by y-1= x, y= x and x -axis betweein x=0 and x= . Let us draw the above region The area of bounded region = Area (O A C)+ Area (A C D) aligned & = ₀^ / 2 x d x+ _ / 2 ^ ( x+1) d x & =[- x]₀^ / 2 +[ x+x]_ / 2 ^ & =[-0+1]+ [0+ -1- 2 ] & =1+ -1- 2 = 2 aligned