Counterexample

Is this true?

Iterated integrals of a measurable function always agree

No — it is false.

The counterexample

The object that kills this claim comes with Trap Analysis.

86 counterexamples are free — including most of the ones Part C leans on hardest.

Keep practicing

Boundary and endpoint

The statement turns at the edge of the interval, the domain, or the parameter range.

See real exam options built on this mistake Drill statements like this

Go deeper· Explained in full in MCT, Fatou and dominated convergence· Asked in CSIR NET June 2025· From Lebesgue Measure and Integration › Lebesgue integral, MCT, DCT, Fatou

ShareWhatsApp Telegram