Practice question · Multiple choice
Over the rectangle the two orders of integration have the same limits; over a triangle they do not. What does Fubini actually guarantee?
Hints
- Sketch a triangle and slice it horizontally, then vertically.
- Fubini is a statement about the VALUE, not about the notation.
Show the answer
C. That the two iterated integrals agree in value, not in limits
Why
Equal values, different descriptions. Copying the old limits after a swap is the standard error, and it is invisible on a rectangle, which is why rectangles teach the wrong lesson.
Practise Multiple Integration
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More questions on Multiple Integration
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