Course Information

You will learn how to:

  • integrate hyperbolic functions and recognise integrals of the form \frac { 1 }{ \sqrt { { a }^{ 2 }-{ x }^{ 2 } } } , \frac { 1 }{ \sqrt { { a }^{ 2 }+{ x }^{ 2 } } }.
  • define and use reduction formulae for evaluation of definite integrals
  • use rectangles to estimate or set bounds for the area under a curve
  • use integration to find arc lengths and surface areas of revolution.

Cambridge International AS and A-Level Further Mathematics by McKelvey L., & Crozier M. (Download eBook)
Other Resources:
List of formulae and Statistical Tables (List MF19) [Download]

Technical Guide:
Take note of the following…
1. Most videos are hosted on Youtube. For the best learning experience, follow the guidelines on this page “Tech Guide for students“.
2. Lessons are in succession. Thus, Lesson 1 must be completed before you can have access to Lesson 2, Lesson 2 must be completed before Lesson 3, etc. When you finish a lesson, you must click on the “Mark Complete” button at the bottom of the page.

Course Instructor

Dr. Vincent P. Techo Dr. Vincent P. Techo Author

Founder of Techo Academy. Mathematics and Further Mathematics instructor. Doctor of Business Administration (DBA). Master of Education (MEd) in Instructional Technology (Ongoing). Master of Business Administration (MBA). B.S. in physics.

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Dr. Vincent P. Techo
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