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Ch 12 Integral Calculus

July 21: Class Questions on Applications of Antidifferentiation
ANSWERS now here.
applications_of_integration_lesson_july_21.pdf
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solutions_for_class_worksheet.pdf
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VIDEOS on VARIOUS TOPICS IN INTEGRAL CALCULUS
This video goes through a simple example of a definite integral with circular functions
This video goes through an example illustrating a definite integral of a hybrid function
This video goes through a basic example of evaluating a definite integral with a rational function.
This video goes through an example of evaluating a definite integral of a rational function requiring simplification.

This video goes through evaluating a definite integral of a polynomial function and recalling that it will not give an area when the graph goes below the x-axis. 
This video goes through the concept of finding the area between two curves using definite integrals


This video goes through an example of finding the area between two curves
Here is a second practice example of finding the area between two curves
Here is a video by a teacher in Melbourne on antidifferentiating EXPONENTIAL FUNCTIONS
ANTIDIFFERENTIATION  BY RECOGNITION
Here an teacher in Australia goes through Antidifferentiation by Recognition.
ANTIDIFFERENTIATION OF CIRCULAR FUNCTIONS
Here he goes through several examples of finding antiderivatives of circular functions

ANOTHER EXAMPLE ON ANTIDIFFERENTIATION BY RECOGNTION BY a Melbourne teacher
This is PART 1 of his series


ANTIDIFFERENTIATION BY RECOGNITION This is PART 2 of his series
An explanation of how to sketch an ANTIDERIVATIVE curve of a function
ANTIDIFFERENTIATION BY RECOGNITION  This is PART 3 of his series
Explanation of the AVERAGE VALUE of a function and an example
Click on this link to go to a website created by a teacher in Melbourne with many excellent videos on the topics in Maths Methods
http://www.year12mathsmethods.com/#!copy-of-chapter-8/c1dbt