Consider the curves y= x and y= x . What is the area of the region bounded by the above two curves and the lines x =0 and x= 4 ?

Step-by-step solution

Area of shaded region = ₀^ 4 ( x- x) d x aligned & =[ x+ x]₀^ 4 & = [ ( 1 2 + 1 2 )-(0+1) ] & =( 2 -1) sq. units. aligned