(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!

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Integration, Zero Content

**Physics Forums | Science Articles, Homework Help, Discussion**