integral of cos^2x*tan^3x, calculus 2 tutorial

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From a channel Lumen includes in full: Steve Chow (blackpenredpen) is a long-time calculus teacher who works integrals, derivatives, series, special functions and precalculus problems in full on the whiteboard, including multi-hour practice marathons.

A 4-minute video from blackpenredpen's catalogue; the title names its topic.

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Part of Trig Integrals, Calculus 2, Calculus: Sect 7.2 Trigonometric Integrals, Stewart Calculus Solution, 7th ET edition