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Midterm

MATH 2B Study Guide - Midterm Guide: 4DxPremium


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

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Shortened: (x)dx
b
a
f
Examples
x 2 dx
3
1
2
You can either take the area after graphing it out, or take the antiderivative
(integral) directly
2xx2
The antiderivative
3) 2(3) 3( 2 =
Plug in for b x
1) 2(1) ( 2 = 1
Plug in for a x
3) ) 4( ( 1 =
Subtract from to find the area between the two pointsa b
The Integral using limit definition
(x)dx (xx
b
a
f= lim
n→∞
n
k = 1
fk
n
k=1
1 = n
n
k=1
k=2
n(n+1)
n
k=1
k2=6
n(n+1)(2n+1)
n
k=1
k3=4
n(n+1)
22
These are a few of the definition used, but there is no need to memorize them.
Definite Integral
Section 5.2
Find area of y = f(x) between a x b
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