• Mathematics Advanced
  • Year 12


approx. 6 hrs

7 topics

15 concepts

Extend your understanding of differential calculus through an in depth look at Integration.

Available in


Studying Integration will build on student understanding of differential calculus with a focus on power, logarithmic, exponential and circular functions. The application of integration technques will be extended to find the area under a curve and the volume of a solid of revolution. We will help students master a range of differentiated questions including a mix of practical-related problems.

Topics & Concepts We Cover

This learning program is made up of the following 7 topics, broken down into 15 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

  • Integration Using Substitution 2 concepts

    1. Indefinite integrals using substitution

    2. Definite integrals using substitution

What you'll get

Learning Content

  • A customised learning plan to suit your needs, adapting to your pace as you learn, progress and achieve mastery
  • All the content required to help you master the syllabus, including theory, worked examples, exam preparation and practice questions

An Expert Tutor

  • We match you to a private, expert tutor who is right for your needs and goals
  • Our tutors are talented, tested, top ATAR achievers and subject experts
  • During each session, your tutor guides you through your learning program, providing real-time, live expert tutoring in Integration


  • Access information at every stage showing what's been mastered, what areas need to be worked on and what's next
  • You and your parents receive a comprehensive feedback report after every session
  • Every session is recorded and available for you to watch at any time, allowing you to review what was covered

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Starting at

$49(inc. GST)

per session

Fully flexible

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Access to practice questions

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