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hello welcome to engineers ireland today were going to look at integration and after this particular one well be heading on into the special question where you will find a little more integration a little more differentiation a little more serieses and sequences so this is a heads up for you that havent looked at this one revise your series and sequences and your differentiation okay to integration what is it well there are a lot of i suppose there are an amazing number of problems in engineering science etc that you cannot really solve without integration so the first thing it is is extremely important so its something well worth learning the second thing is its often referred to as the inverse or the return journey of differentiation and theres a lot of merit in that its also it also has its own interpretation and you will see that interpretation when we get towards the end of this talk when were looking at um finding the areas under particular curves between that and the x-