• Mathematics Advanced
  • Year 12


approx. 7 hrs

6 topics

13 concepts

Enhance your understanding of Integration to boost success in your HSC examinations.

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Integration is a topic covered in Year 12 Mathematics Advanced and a core component of the NSW Senior Mathematics syllabus. In this program, students study applications of integration to solve problems, including the area under a curve and explore the volume of a solid of revolution.

Topics & Concepts We Cover

This learning program is made up of the following 6 topics, broken down into 13 concepts.

  • Approximation Methods of Integration 3 concepts

    1. Area under a curve using sub-intervals

    2. Trapezoidal rule

    3. Simpson's rule

  • Definite Integral 2 concepts

    1. Calculating definite integrals using techniques of integration

    2. Fundamental theorem of calculus, relating the primitive function to an integral

  • Indefinite Integral 1 concept

    1. Find indefinite integrals using techniques of integration

  • Using the Chain Rule in Reverse 1 concept

    1. Reverse chain rule

  • Definite Integral and Area 4 concepts

    1. Finding the area of a compound region

    2. Odd and even functions in integration

    3. Finding the area between a function and the x axis

    4. Finding the area between a function and the y axis

  • Volumes of Solids of Revolution 2 concepts

    1. Find the volume of a solid of revolution about the y axis

    2. Find the volume of a solid of revolution about the x axis

What you'll get

Learning Content


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Starting at

$49(inc. GST)

per session

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