### U-Substitution on the TI-89: Raw Transcript

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 uhm second alpha i n d e x the letters

and you press alpha to put eight and open and closed parenthesis

press enter and you’re into my menu you can scroll down or up to that u substitution

it’s all alphebetical and we’re going to get to u substitution here

enter our function you have to press alpha before you enter

anything in the entry lines here and we’re going to do

two times x times the

square root orange key

and then the over the times key x squared plus nine

press enter I always show you what you’ve entered

in case you’ve made a mistake I say it’s ok

and here’s your function we’re going to have to rewrite it

here’s the constant you have to take it outside the integral sign

take the x and put it over here by the dx and u equals x squared plus nine

and here’s the derivative anytime you have a constant here

you have to put it over and divide du by that constant

and leave the rest over here should be no numbers over here

notice this is the same as the previous x by dx

that’s why we rewrite it here’s the calculations

put em all down on your paper exactly like this

pretty complicated but when you take you notice when you have a square root

it’s to the one half and so therefore you’re using u to the one

half and you have to add one to that

which will be two halves which equals three halves and then

you have to divide by three halves that’s the way you integrate

and then of course don’t forget to uhm when you’re gonna when your dividing by

a fraction you always have to invert and multiply

here’s two thirds inverted from three halves or three over two

then you substitute back in for u and here’s your answer here

pretty neat huh every step calculus dot com

go to my site buy my programs

and pass your calculus