Ch 12 Integral Calculus
July 21: Class Questions on Applications of Antidifferentiation
ANSWERS now here. 

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 xaxis.

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/#!copyofchapter8/c1dbt
http://www.year12mathsmethods.com/#!copyofchapter8/c1dbt