Find the area enclosed in the first quadrant represented by the function [x] + y= 1 where [t] is the greatest integer less than or equal to x?
Option (a)
For x=0 to x= 1 => y=1
When x=0.9999999, [x] = 0, thus y=1
Thus the area will be very close to, but slightly less than 1
Thus, the area enclosed in the first quadrant can be represented as follows
Required area= 1x1= 1