A region R is shown . Decide whether to use polar coordinates or rectangular coordinates and write ∫∫f(x,y)dA as an iterated integral, where f is an arbitrary continuous function on R. The picture is a triangle with points (0,0),(2,0) and (0,2)

Question

A region R is shown . Decide whether to use polar coordinates or rectangular coordinates and write  ∫∫f(x,y)dA as an iterated integral, where f is an arbitrary continuous function on R. The picture is a triangle with points (0,0),(2,0) and (0,2)

anonymous · Answer

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anonymous · Answer

I don't see a reason why you should use polar coordinates in here, if you can decide, simple define the equation of the line which is

$$ y=-x+2$$ and then you can decide for yourself in which order you want to integrate

anonymous · Answer

for dydx

$$ 0 < y < -x+2$$ and
$$ 0 < x < 2 $$

anonymous · Answer

Would it be correct if I write |dw:1343088085938:dw|