CK12 Calculus - Single Variable

This latterequationis calledadifferentialequation. This characterizationof the basicsituationfor which
integrationappliesgivesrise to a set of equationsthat will be the focusof the Lessonon The InitialValue
Problem.
Example4:

Solvethe generaldifferentialequation
Solution:
We solvethe equationby integratingthe right side of the equationand have

We can integrateboth termsusingthe powerrule, first notingthat and have

LessonSummary

1. We learnedto find antiderivativesof functions.


2. We learnedto representantiderivatives.


3. We interpretedconstantof integrationgraphically.


4. We solvedgeneraldifferentialequations.


5. We usedbasicantidifferentiationtechniquesto find integrationrules.


6. We usedbasicintegrationrulesto solveproblems.

ReviewQuestions
In problems#1–3,find an antiderivativeof the function

3. 
   

   In #4–7,find the indefiniteintegral

   
   


4. 
   


5.