
- Mathematical Methods
- Year 12
Integration
approx. 13 hrs
7 topics
15 concepts
Enhance your conceptual understanding of and skill level in Integration to achieve success in your examinations.
approx. 13 hrs
7 topics
15 concepts
Enhance your conceptual understanding of and skill level in Integration to achieve success in your examinations.
Integration is a topic that is covered in Year 12 Mathematical Methods and is aligned with outcomes from the Australian curriculum. This program gives students the skills to use different methods of Integration to solve problems, including area under a curve and volume of the solid of revolution. Students also learn how to evaluate mathematical solutions to problems and to communicate such solutions in an appropriate form.
This learning program is made up of the following 7 topics, broken down into 15 concepts.
Area under a curve using sub-intervals
Simpson's rule
Trapezoidal rule
Calculating definite integrals using techniques of integration
Fundamental theorem of calculus, relating the primitive function to an integral
Find indefinite integrals using techniques of integration
Reverse chain rule
Finding the area of a compound region
Finding the area between a function and the y axis
Finding the area between a function and the x axis
Odd and even functions in integration
Find the volume of a solid of revolution about the y axis
Find the volume of a solid of revolution about the x axis
Indefinite integrals using substitution
Definite integrals using substitution
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