U substitution x*e^(x^2) on the TI 89 | Every Step Calculus Video

Raw Transcript

This is a video on integration of e to the x transcendental function uhm and let’s get started on it uhm for my programs you have to press second alpha to put the letters i n d e x in here and then press alpha again to put in the eight and the open and closed parenthesis press enter and your into my menu integration by parts is the program that does cosign sign e to the x and natural log and so in my programs which says integrate transcendentals we’re going to choose e to the x and to enter anything in my lines here the entry lines, you have to press alpha first so were gonna press alpha and put uhm x times let’s say e to the x squared I always show you what you’ve entered so you can change it in case you’ve made a mistake you have that option and I also need you to tell me whether this is equal or not if it is, I haven’t been able to program the calculator to do that in a certain way it’s too complicated for you to understand but and so if it is equal you press yes if it isn’t then I tell you what else to do with it and I explain to you that the derivative of the inside function in parenthesis matches in some way the outside and if that happens then that’s a u substitution problem and so then we’re evaluating this you re write it by putting this x here over by the x dx and isolating that choose x squared for u du the derivative two x and then when ever you have anything in front of the x here you have to transfer it to the other side by division so here’s on half du equals x dx and that was the same as the original function when we re wrote it and so you do the calculation write everything you see on your paperfor your test and homework to get an a on this problem and the answer is one half e to the u plus c then you substitute back in x squared for u so you get one half e to the x squared plus c that’s the answer pretty neat huh everystepcalculus.com.  Go to my site, buy my programs enjoy them and pass calculus.