Counterexample

Is this true?

A composition of Riemann integrable functions is Riemann integrable

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

Converse assumed

The theorem runs one way. You used it in the other.

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

Go deeper· Explained in full in Riemann integrability — the criterion and the zoo· Asked in CSIR NET December 2025· From Integration › Riemann integration and criteria

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