Homework Soursefind the area of the region enclosed by ii y x1 iii to the r
find the area of the region enclosed by
ii) y= x-1
iii) to the right of the y axis
ii) y= x-1
iii) to the right of the y axis
Solution
well to the right of y axis, the area is infinite
Perhaps it was meant enclosed by y=x-1, to the right of the y axis and below the x-axis
y=x-1 meets the axes in (1,0) and (0,-1)
So the area is
01|x-1| dx
x-1<0 between 0 and 1, so |x-1|=1-x
=01 1-x dx
=x-x^2/2|01=1-1/2=1/2
