Calculus 3 change of variables

[princessp]

Homework Statement

Use the change of variables to evaluate the integral
(x +y ) sin(x -y )dA, where R is the
region enclosed by y = x, y = x - 2, y = -x and y = -x + 1. (Hint: use u = x + y and
v = x - y

Homework Equations

The Attempt at a Solution

Not sure how to start it

 

[Brian T]

Draw the region in the xy plane and then draw the region in the uv plane to determine bounds. From there, use the standard change of variables...

 

[princessp]

okay i think that's where i am having trouble. I an not good at drawing the graph

 

[ehild]

okay i think that's where i am having trouble. I an not good at drawing the graph

You have to draw the boundary lines. Don't say that you can not draw the lines y = x, y = x - 2, y = -x, and y = -x + 1 !