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That night, he wrote the substitution u = √(tan x). The page sighed. Then he let the pen rest. Some solutions are not answers. They are permission to stop. He closed the notebook and went to make tea.

For advanced high school students in Australia and across the globe, specifically those tackling the Higher School Certificate (HSC) Mathematics Extension 1 and Extension 2 courses, few names command as much respect as Jim Coroneos. His publications, particularly the "100 Integrals" booklets, have become the stuff of legend.