Raw Transcript

This video is going to be on integrals, rewriting an integral, and also evaluating one. Lets get started – you have to press second alpha to put the letters of this code in – you just do this once and up comes the menu for you – and you push alpha and then eight and closed parenthesis, and then press enter, and up comes my menu of all the items – I know that what I want to go to is the letter p, they go from numbers here, but then they go p, so you can scroll down like this, all the way down – or if you know what your after you can go alpha and then p, and I’ll go to – I want to rewrite the integrand first – so I’m gonna – one of the most important parts – I tell you one of the most important parts in here – and so

you kinda go to this list here – and these are the tough ones – so you go to your list and like for instance let’s do number six here – press number six – n over x squared – you need to convert the denominator always to a numerator, and that in algebra becomes x to the minus two, n times x to the minus two, and then you integrate – you’re going to go integration of n to the x to the minus two – which you can do it now, and here you have – n to – notice you add one to the exponent up here and then all this you divide by that also – minus two plus one – that equals n to the minus 1 – minus one. So that equals minus n over x – and you can go to another one here, lets try number 5, here’s the cube root – well cube root of course is exponent of, to the one third, and to integrate x to the one third, you have to add one, well one in one third is three thirds, so you add that and divide, and put that in the denominator also, and you have x to the four thirds over four thirds, and when you divide by a fraction you invert and multiply, and so here’s the answer, three x to the four thirds, over four. Ahh pretty neat huh, well I wanna do, I’m going to go here and quit, lets scroll down here – and we can quit on either end of it – press enter – now if you wanna, I’m gonna go alpha and p again to get back to the program, I’m gonna – I want to evaluate, I’m gonna press number two, and evaluate – and for demonstration let’s just do uhm – you have to press alpha before you enter anything in this line here – alpha, and let’s go uhm – t times uhm – sometimes they use the variable t – times – let’s use e to the x here, e to the x of three times, t squared. And it shows you what you’ve entered here – I show you – and you can go ok or change it – I’m going to say it’s ok, so – and I don’t do it step by step particularly – uh – because this is u substitution – uhm – but anyways – ah – this is the exact answer. And so that will help you immensely – ya know – checking your integrals with any type of integral – quickly – and the step by step I have in other sections of my programs like for instance u substitution – so – fabulous programs, check em out at everystepcalculus dot com