M408C - Brian's Draft Cheat Sheet - Area BTW Curves -Find...

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Area BTW Curves-Find Intercepts-Integrate Between Intercepts+ Want Positive AreaHyperbolic Trig+ c+ cCritical Points-CP = First Derivative Test-Separate interval according to intercepts-Find the sign of on each interval--Integration by PartsTrig SubstitutionProduct of Trig Functions-M oddoSave 1 and write the rest as sin x; U = sin x-N OddoSave 1 sin x and write the rest as cos x; U = cos x-Otherwise: Everything as sin x; Use recursion formulas-M Odd, N ≥ 1oSave tan x sec x ; write rest as sec x ; u = sec x-N Even, M ≥ 2oSave -Otherwise: Everything in sec x; use recursion formula-N OddoSave sin x, write the rest as cos x: u = cos x-Otherwise: Write everything in terms of cos x
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Term
Fall
Professor
McAdam
Tags
Critical Point, Rational Functions, ILF, Save cos, IQF o U Sub, Area Hyperbolic Trig, Coefficient Integrating IQF

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