Sketch and find the area of theregion bounded by the given curves. Choose the variable of integration so that the area is written as a single integral. y = x, y = 2 – x, y = 0

Question

Sketch and find the area of theregion bounded by the given curves.  Choose the variable of integration so that the area is written as a single integral. y = x, y = 2 – x, y = 0

anonymous · Answer

To write the area as a single integral, you'll have to integrate with respect to $y$:|dw:1369762993979:dw|

anonymous · Answer

okay

anonymous · Answer

so i'll be integrating those 3 right?

anonymous · Answer

First you have to write the curves as a function of y:
$$y=x~\Rightarrow~x=y\
y=2-x~\Rightarrow~x=2-y$$
|dw:1369763204601:dw|