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 and let’s get started here to access my programs you have to press second alpha and put the i n d e x letters in here and then press alpha again to put the eight and the open and closed parenthesis press enter you’re into my menu, many things to choose from here as you can see definite integral critical points graphing by hand chain rule we’re going to go up here with the curser to get down to the bottom of the menu which is u substitution and we’re going to put in our function you have to press alpha again to put anything in these entry lines remember to do that alpha let’s go five times x times sign of three times x squared. I always show you what you’ve entered you can change it if you want. I say it’s ok and we’re going to evaluate this of course you have to bring the constants outside the integral which I do for you any time there’s that plus we want to bring this x now over by the x dx to make sure it’s a u substitution problem somehow this inside of this parenthesis has to be made to match this I choose that for you here’s the du you always take a constant out of here and du divided by six and then isolate the x dx which you can see is the same so this is a valid u substitution if it wasn’t it’d be an integration by parts problem. I make sure you know that so I have to ask you this does x equal x it checks whether that is a u substitution problem and here’s your answer you write all of this down on your paper exactly like I’ve got it here you’re bringing constants outside the integral you’re multiplying times what you’ve put outside the integral before, and here’s the answer right here minus five sixths times cosign of three x squared plus c. Pretty neat, huh? everystepcalculus.com. Go to my site buy my programs and pass calculus.