Calculus forms an enormous part of the A-level syllabus and commonly students struggle to sort through the techniques that must be learned and when to use which.. This course will focus on the core challenges in exams and in particular on the different integration methods, when to use them and how to avoid common errors.


  • Recap/learn how to use all methods of integration.
  • Understand how to choose the most appropriate method of integration avoiding the two most common mistakes.
  • Learn how to practise effectively; it’s not about working for longer, it’s about being smarter.
  • Improve students’ grades through success in the integration questions in the 2021 examinations.
COURSE DATE Online | Wednesday 02 December 2020
Online | Wednesday 27 January 2021
  • Heads of Mathematics
  • Maths Teachers
IN-SCHOOL You can also book this as an In-School Course
  • A specially prepared folder of detailed notes, practical advice and guidance
  • Notes prepared by the educational experts leading the course
  • Expert produced PowerPoint presentations
  • CPD Certificate of attendance


4.00 – 4.05pm Welcome and Introduction

4:05-4:25pm:  f’(x)/f(x) and integration by substitution

  • How to spot when f’(x)/f(x) is applicable and how to use it.
  • Which adjustments to exam questions are allowed so that they fit the pattern and which aren’t.
  • Common errors made when integrating after splitting a question into partial fractions.
  • How to carry out integration by substitution.
  • Common difficulties students face when integrating by substitution and how to avoid them.

4:25-4:40pm:  Integration by parts and integration of trigonometry

  • How to spot when integration by parts can be used and how to use it.
  • Common errors made when integrating trigonometric ratios and how to avoid them.

4:40-4:50pm:  Reverse chain rule and basic integration

  • How and when to use reverse chain rule and common errors made.

4:50-5pm: Tips and Q and A

  • How to practise using and distinguishing between methods of integration.
  • How to avoid the two most common mistakes students make.

Julia Treen

Julia Treen has been teaching all levels of secondary maths for 8 years, including 3 years as a private tutor and has been an A-level marker for Pearson. As such she is an expert in identifying where students struggle and how to overcome these challenges. She has a particular interest in helping students to practise more efficiently and effectively.