Crystal Clear Maths's video: Jim Coroneos 100 Integrals 005 sinx sec x dx Three Methods

Jim Coroneos was a remarkable teacher and a wonderful human being. I had the great privilege of studying from his text books in my senior high school years and, during my first years of teaching, working alongside him as a colleague for a while. Sadly, he passed away almost exactly 10 years ago, in 2005, but you may read something of his life at http://crystalclearmaths.com/wp-content/uploads/Jim-Coroneos-Obituary.pdf. In one of his more advanced texts, he provided a list of 100 Integrals to challenge his students. This list is now used by mathematics teachers and students world wide. The complete list has been produced on a few websites. You may like to obtain a copy from http://bbujeya.blogspot.com.au/2014/03/100-integrals-from-coroneos.html. Partly to honour Jim, and partly to fulfil an international need, I have decided to produce 100 videos, showing how to solve his 100 integration 'problems.' I hope you find the videos useful! This fifth problem is to evaluate ∫sinx.sec³x.dx This is the second video that I have created in order to evaluate this integral. The first one suffered because I chose to use the opportunity to discuss a particular method for solving integrals (by structuring them as derivative patterns). Admittedly, this is not the only method and, arguably, not the fastest or 'easiest.' I therefore decided to create this video showing three common/popular methods for evaluating integrals of this kind. In my experience as a teacher, a typical large class would find groups of students who would prefer each of these methods. They are all mathematically correct but different methods will appeal to different students according to their strengths and how they think. ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ For more information about mathematics or how to study, visit my website, Crystal Clear Mathematics at http://www.crystalclearmaths.com/ If you wish to be kept up to date with what I am producing on the website (ad free, spam free, cost free mathematics and study materials), please add your name to the mailing list there. Download my FREE 32 page PDF "How to Study" booklet at http://crystalclearmaths.com/wp-content/uploads/2015/12/How-to-Study-Mathematics-V3.pdf. Best wishes for your study and your mathematics! Thank you.