This is a video solving a u substitution problem step by step and also demonstrating how my downloadable programs work in your TI 89 Titanium calculator and other TI calculators for calculus and physics problems. So let’s get started you have to press second alpha before you enter the letters i n d e x in the entry line of the calculator here and then press alpha again to put the eight and the open and closed parenthesis. Press enter and you’re into my menu. Many things to choose from in here trig stuff quotient rule quadratic formula whatever to help you pass calculus and do your homework we want to do u substitution right now we have to press alpha before you enter anything in these entry lines where we enter functions press alpha x times e to the three times x squared. I always show you what you’ve entered so you can change it if you want give you that option I say it’s ok we’re evaluating this and we re-write it so we put this x here over by the dx to make us understand we need to match that by doing the derivative of the inside here, inside the parenthesis and we choose u which is three x squared du is equal to six x we take the constant always out of this and leave the x dx there’s our shows us that it is a u substitution problem and we have du divided by six transpose it to the other side by division and you take e to the u and make it equal to you know that it equals e to the three x squared and the integral of e u with du divided by six but here we have to take the six and bring it outside the integral always a constant or fraction anything like that you bring outside the integral which we’ve done here and then we do the derivative a integral of e to the u which is e to the u and here’s the answer we substitute back in the three x squared pretty neat, huh? everystepcalculus.com. Go to my site and buy my programs and pass calculus.
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