
Section 
Section Topic 


28 
Derivatives of
Inverse Trig Functions 


45 
The Mean Value and
Fundamental Theorems 


46 
Substitution in
Definite Integrals 


47 
Numerical
Integration 


51 
Volumes by slicing
and rotation about an axis 


52 
Modeling Volume
using Cylindrical Shells 


53 
Lengths of Plane
Curves 


54 
First order
Separable Differential Equations 


61 
Logarithms 


62 
Exponential
Functions 


63 
Linear First order
Differential Equations 


65 
Hyperbolic Functions 


71 
Basic Integration
Formulas 


72 
Integration by parts 


73 
Partial fractions 


74 
Trigonometric
Substitution 


75 
Integral Tables and
Monte Carlo Integration 


76 
L'Hospital's Rule 


77 
Improper Integrals 


81 
Limits of sequences
of numbers 


82 
Subsequences, Bounded Sequences, and
Picard's Method 


83 
Infinite Series 


84 
Series of
nonnegative terms 


85 
Alt Series, Absolute
and Conditional Convergence 


86 
Power Series 


87 
Taylor and Maclauren
Series 


88 
Application of Power
Series 
