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Problem Desk
Curated problems where the reasoning matters more than the final number.
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- Anyone who enjoys a well-posed problem.
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- Alternative methods · Clear write-ups · Verification · Generalisation
Curated prompts
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Written by RIDA MATH. Each prompt says what a strong contribution looks like.
A Frullani-type integral
Evaluate by writing the integrand as an integral in a parameter and exchanging the order of integration. Which theorem justifies the exchange?
A strong contribution: Arrives at and cites Fubini–Tonelli with the non-negativity of the integrand.
Same integral, two routes
Compute by repeated integration by parts and by a linear-algebra method on the basis . Which route is easier to check?
A strong contribution: Both values agree; the comparison mentions where sign errors are likely.
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