• Year 12

# Integration

approx. 7 hrs

6 topics

13 concepts

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

Available in
NSW

### Overview

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

• 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?

Simply pick a time that works for you

We'll be in contact to match you with one of our top tutors and book your first session

Starting at

\$49(inc. GST)

per session

Fully flexible

PAYG and bundle plans

Use anytime