Barrons AP Calculus

(Marvins-Underground-K-12) #1

6 Definite Integrals


A.  Fundamental Theorem of  Calculus    (FTC);  Evaluation  of  Definite
Integral
B. Properties of Definite Integrals
C. Definition of Definite Integral as the Limit of a Riemann Sum
D. The Fundamental Theorem Again
E. Approximations of the Definite Integral; Riemann Sums
E1. Using Rectangles
E2. Using Trapezoids
E3. Comparing Approximating Sums
F. Graphing a Function from Its Derivative; Another Look
G. Interpreting ln x as an Area
H. Average Value
Practice Exercises

7 Applications of Integration to Geometry


A.  Area
A1. Area Between Curves
A2. Using Symmetry
B. Volume
B1. Solids with Known Cross Sections
B2. Solids of Revolution

BC ONLY

C.  Arc Length

BC ONLY

D.  Improper    Integrals
Practice Exercises

8 Further Applications of Integration


A.  Motion  Along   a   Straight    Line

BC ONLY
Free download pdf