# How do you find the area between #y=x, y=2-x, y=0#?

##### 1 Answer

Let

#### Explanation:

First, a good thing to do would be sketch the graph.

So, we are looking for the area of that triangle.

Take note of the points of intersection.

Here we are dealing with

So we set both equations equal and get

So, both functions intersect at

Since we are only dealing with values greater than

And since our area is bounded on the left by