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Calculus II
Contents
Series
sequences
sequences properties
series
geometric series
arithmetic series
harmonic series
properties of series
convergence criteria
power series
series expansion
algebraic operations
particular sums
sequences Examples
CD_criteria
conv & div strategy
series worked examples
lim n!/n
n
at ∞
lim (1 + x/n)
n
at ∞
Integrals
Differential of a function
Primitive techniques
Differential equations
rational functions primitives
partial fractions technique
integration by parts
trigonometric functions
trigonometric substitutions
Definite integrals
summation operations
Riemann sum
Fundamental Theorem
of Calculus
FTC applications
improper integrals
area integral
arc length
lateral area
volume integral
Volumes of Solids of Revolution
Some primitives
∫ sec
3
(x) dx
Parabola element
∫ dx/(ax
2
+ bx + c)
Numerical methods
Rectangles method
Trapezoidal rule
Simpson's rule
Exercices
limits
sequences & series
integration
volumes of revolution
© The scientific sentence. 2010
Calculus II:
Series
limits at infinity
Convergence and divergence of series
Lim n!/n
n
at ∞
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