(adsbygoogle = window.adsbygoogle || []).push({}); 1) Let f(x,y)=1 for x=0, y E Q

f(x,y)=0 otherwise

on R=[0,1] x [0,1]

Then

1 1

∫ ∫ f(x,y) dxdy = 0 exists

0 0

but

1 1

∫ ∫ f(x,y) dydx does not exist

0 0

I don't understand why the first iterated integral exists, but the second interated integral does not exist, can someone please explain (perhaps in terms of the concept of zero content) ?

Thank you!

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# Integration, Zero Content

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