Rules and methods for integration
Math 121 Calculus II
D Joyce, Spring 2013
Weve covered the most important rules and methods for integration already. Well look
at a few special-purpose methods later on.
The fundamental theorem of calculus. This is the mo
1. The functions sinh x and cosh x
Hyperbolic Functions
The function cosh x is defined by
2 lectures in week 5
One question in exam
HELM section 6.2
cosh x =
e x + e x
2
(1)
The function sinh x is defined by
sinh x =
e x e x
2
(2)
Also called hyperboli
Power Series
16.4
Introduction
In this Block we consider power series. These are examples of innite series where each term
contains a variable, x, raised to a positive integer power. We use the ratio test to obtain the
radius of convergence R, of the powe
16.2
Infinite Series
Introduction
We extend the concept of a nite series, met in Block 1, to the situation in which the number of
terms increase without bound. We dene what is meant by an innite series being convergent
by considering the partial sums of