A region R is given. (ill just tell you that it is a triangle, given by lines x = -2, y = 2, and y = x).
Decide whether to use polar coordinates or rectangular coordinates and write [itex]\int[/itex][itex]\int f(x,y)dA[/itex] as an iterated intergal, where f is an arbitrary continuous function.
The Attempt at a Solution
so, i already know to use polar coordinates. i have the answer for the problem which is :
[itex]\int[/itex][itex]\int f(x,y)dydx[/itex] where the x's boundaries are -2 to 2 and the y's boundaries are x to 2.
i understand why the lower x boundary is -2, and why the upper y is 2. but why is the x upper 2 and the y lower x? why cant it be like the x boundaries are -2 to y and the y boundaries are x to 2 ?