• Mathematics Extension 1
  • Year 12

Integration

approx. 8 hrs

7 topics

15 concepts

Enhance conceptual understanding and skill in Integration to achieve success in the HSC examinations.

Available in
NSW

Overview

Integration is a topic covered in Year 12 Mathematics Extension 1 and addresses outcomes from the NSW Senior Mathematics Syllabus. In this course, students study applications of integration to solve problems, including problems about the area under a curve, and explore the volume of the solid of revolution.  In addition, you will show proficiency in applying integration using substitution technique to complex problems.

Topics & Concepts We Cover

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

  • Integration Using Substitution 2 concepts

    1. Indefinite integrals using substitution

    2. Definite integrals using substitution

  • Volumes of Solids of Revolution 2 concepts

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

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

  • Using the Chain Rule in Reverse 1 concept

    1. Reverse chain rule

  • Definite Integral and Area 4 concepts

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

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

    3. Finding the area of a compound region

    4. Odd and even functions in integration

  • Definite Integral 2 concepts

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

    2. Calculating definite integrals using techniques of integration

  • Indefinite Integral 1 concept

    1. Find indefinite integrals using techniques of integration

  • Approximation Methods of Integration 3 concepts

    1. Area under a curve using sub-intervals

    2. Trapezoidal rule

    3. Simpson's rule

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

Reporting

  • 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

Ready to start this program?

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Starting at

$49(inc. GST)

per session

Fully flexible

PAYG and bundle plans

Use anytime

Access to practice questions

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