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The article opens with a map of ten families of integration methods, explaining what to look for before choosing an approach. Worked examples then connect elementary techniques with harder problems, including a Putnam logarithm solved by reflection, a reciprocal quartic that generates a recurrence, and an integral equation solved by recovering its boundary conditions. Page 25 begins a catalogue of 100 difficult problems in 12 categories, each with a hint. Page 36 separates five open research questions from the solved practice problems and explains what a proof would need to establish.
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Prithvijit Chakraborty (2026) studied this question.
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