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Midterm

MATH 2B Study Guide - Fall 2018 Midterm Notes - Udu, TanxPremium


Department
Mathematics
Course Code
MATH 2B
Professor
All
Study Guide
Midterm

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What is the chain rule?
Take the derivative of (x) sin(x)f= 2
(x) cos(x) xf= 2*2
Undoing the chain rule
Is harder to recognize when to undo the chain rule when finding the integral
Instead, you can rewrite certain parts
=os(x)2xdx
c2os(u)du
c
How?
Set xu = 2
Then take derivative of u
x
dx
du = 2
Then isolate du
u 2xdxd =
And substitute
os(u)du
c
Finish taking integral
in(u) Cs +
Replace u’s
in(x) Cs 2+
Examples
an (x)sec (x)dx
t7 2
tanxu =
u sec dxd = 2
du
u7
u) C(8
18+
(tanx) C
8
18+
dx
1+x2
tan x
−1
Substitution
Section 5.5
Review
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