Area of a Region B/W 2 Curve Help

[zammam]

Given the values:

y=x, y=2-x, and y=0

we're supposed to find the area of the region inside the curves. I keep getting 0

\(\displaystyle \ \int_{-0}^{2}(2-x) - (x)dx\)

The answer's 1, but im not sure what i'm doing wrong ( i know this setup = 0, but im wondering what I did wrong in the setup)

 

[pka]

Given the values:

y=x, y=2-x, and y=0

we're supposed to find the area of the region inside the curves. I keep getting 0

\(\displaystyle \ \int_{-0}^{2}(2-x) - (x)dx\)

Because two of the lines insect at \(\displaystyle (1,1)\)
try \(\displaystyle \ \int_{0}^{1}(2-x) - (x)dx\).