Instructor: Quanlei Fang
Dept. of Math, University at Buffalo, Spring 2009
Welcome
to
Math 122 Lecture 10
Survey of Calculus and its Applications I1
!
Integration by Substitution
If
u
=
g
(
x
), then
§ 9.2
Integration by Parts
!
Integration by Parts
!
Using Integration by Parts
G
(
x
) is an antiderivative of
g
(
x
). We can also write this as
!
When u-substitution does not work
!
When there is a mix of two types of
functions such as an exponential and
polynomial, polynomial and log, etc.
!
When all else fails.
Choose which of two functions is to be
u?
L:
Logarithmic functions
I: inverse trigonometric functions
A:
: Algebraic functions
T: trigonometric functions
E:
Exponential functions.
