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Midterm

MATH 2B Midterm: MATH2B, Chapter 5.3 term test 1Premium


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

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Recall:
definite integral
oThe result that we get from this definite integral is a number
From that number, we can get
Net area
Limit of Riemann Sums
Net change
FTC (Fundamental Theorem of Calculus)
If continuous on   , and
, then  
 
where  
Definition (Indefinite Integral)
   
oMeans that if you take the derivative of , you’ll get
Definite Integral
oYou’ll get a number
Indefinite Integral
oWill result in a function
oDon’t forget the 

 
by FTC
Examples
 
o
 
oThis one is simple enough; take the integral and don’t forget + C


o


Split the fraction into two to begin using trig identities
o  

 
Indefinite Integral and Net Change Theorem
Section 5.4
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