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AP Calculus AB is an introductory college-level calculus course. Trigonometric Identities Once you have mastered those fundamental topics of mathematics, you can then build your expertise in calculus. Algebra Review (ACT) 3. Applications of Integration Professor: Dr. Mohammad Shakil C0-Author: Jeongmin Correa Mathematics Department Finding Absolute Extrema To find the absolute extrema of the continuous OneNote will be used for all course materials, including daily agendas, notes, worksheets, assignments, and answer keys. Required. B. Calculus I Formulas MAC 2311 1. %PDF-1.5
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AP Calculus AB/BC Formula and Concept Cheat Sheet Limit of a Continuous Function If f(x) is a continuous function for all real numbers, then ) lim → ( )= ( Limits of Rational Functions A. absinC Trapezium Area = 1 2 (a +b)h Sector Area = 1 2 r2θ Arc length = rθ Cylinder Volume = !r2h Curved surface area = 2!rh Cone Volume = 1 3!r2h Curved surface area = !rl where l = slant height Sphere Volume = 4 3!r3 Surface area = 4!r2 L3–CALCF 4 Then ( ) (*) 1 lim i b n a n i f x dx f x x →∞ = ∫ =∑ ∆. 12. 2. Before 1997, the AP Calculus questions regarding the FTC considered only a limited number of variations. 1. min. 9 0 obj
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Fundamental Theorem of Calculus: () ()v u F x f t dt=∫, then F x f v v f u u′ ′ ′()= −() b () a ∫ f x dx F b F a= −, when F is antiderivative Definition of Continuity: lim () x c f x f c → = If and Only If f is continuous at x = c. Average Rate of Change : Slope of Secant Line (slope between starting and ending point). -When we multiply, we add exponenxx xa b ab⋅= + ts: -When we divide, we subtract exponents: a ab b x x x = −, ≠0-When we raise powers, we multiply: ( ) xxa abb = ⋅ 2. 17 0 obj
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