Difference between revisions of "Math 22 Antiderivatives and Indefinite Integrals"

From Math Wiki
Jump to navigation Jump to search
Line 5: Line 5:
 
   The antidifferentiation process is also called integration and is denoted by <math>\int</math> (integral sign).
 
   The antidifferentiation process is also called integration and is denoted by <math>\int</math> (integral sign).
 
   <math>\int f(x)dx</math> is the indefinite integral of <math>f(x)</math>
 
   <math>\int f(x)dx</math> is the indefinite integral of <math>f(x)</math>
 +
 +
  If <math>F'(x)=f(x)</math> for all <math>x</math>, we can write:
 +
  <math>\int f(x)dx=F(x)+C</math> for <math>C</math> is a constant.
  
  

Revision as of 07:05, 12 August 2020

Antiderivatives

 A function  is an antiderivative of a function  when for every  in the domain of , 
 it follows that 

 The antidifferentiation process is also called integration and is denoted by  (integral sign).
  is the indefinite integral of 

 If  for all , we can write:
  for  is a constant.


Return to Topics Page

This page were made by Tri Phan

Retrieved from "https://wiki.math.ucr.edu/index.php?title=Math_22_Antiderivatives_and_Indefinite_Integrals&oldid=2472"