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Day 173 — 365 Problems for 365 Days AP Calculus integral that looks tricky but has a classic conjugate move: Integral of 1 / (1 sin x) dx Most students try random substitutions and get stuck. The key is to multiply by the conjugate (1 - sin x) so the denominator becomes 1 - sin^2 x = cos^2 x. Then it turns into sec^2 x and sec x tan x, which are standard derivatives. Project Mentor helps high school students with AP self-study plans, competition prep, and research/internship guidance — see my bi
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