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

This video is on u substitution uhm with regard to calculus

for your tests and homework and let’s get started

you have to press second alpha first to put the letters i n d e x in here

then press alpha and put the eight and the open and closed parenthesis

press enter and you’re into my menu I’m already at u substitution

but you can see there’s many many things in here

for you to pass your calculus tests and do your homework

I was never really interested in learning this stuff

I just wanted to know how to do it for my tests and homework

ah, but were going to do u substitution that’s the way my programs are designed

all of my programs including my physics programs

uhm u substituion lets put the

you have to press alpha before you put anything in the entry lines

here in my programs

so I press alpha and let’s put in x squared divided by the

quantity one plus x cubed to the second power

I always show you what you’ve entered so you can change it in case you’ve made a

mistake I say it’s ok

we’re going to evaluate x squared divided by x cubed plus one over two

and we rewrite the program to put the x squared over by the dx here

and of course there’s one in the numerator there

and we choose, i tell you what to choose to isolate the x you take the three and move it to the other

side for the du du divided by three equals x squared dx

and then we of course change the function to u

1 over u squared same thing as one over what you entered there

and you do the calculations notice that we have du divided by three

but you always take a constant or fraction and move it to the front of the integral sign

here which I’ve done for you

and then you have you have to change u two to the numerator

you can’t integrate with a division or times sign

you have to change it to a single numerator and so we have u to the minus two

and you add one to that which becomes a minus one

and you get one third over one to the minus u

and etcetera and here’s your answer uhm pretty neat huh

every step calculus dot come go to my site

buy my programs and pass your calculus

## Leave a Reply