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Show Work Step by Step on your TI-89 Calculator Screen

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Go to our Simpson’s Rule page to see more info and many more step by step video tutorials for the TI-89.

Raw Transcript

This is a video from every step calculus dot com demonstrating how my programs work on a t i eighty nine titanium calculator and other calculators in the t i system for physics and calculus problems ok simpson’s rule ahh an approximation on a definite integral and let’s get started puse second alpha to put the letters i n d e x in here press alpha and put the nine and the open and closed parenthesis press enter and you’re into my menu many choices here for you to pass your calculus two class we’re gonna do simpsons rule and we’re gonna do what’s up here in the example this is on the you tube by one person professor or who ever and so we’re gonna enter that you have to press alpha before you enter anything into my entry lines of my programs so I’m gonna press alpha and put the one divided by course always parenthesis x to the fifth plus one close off the parenthesis press enter I always show you what you’ve entered so you can change it case you made a mistake and we’re gonna put in our range alpha two to alpha seven again I show you I say it’s ok here’s the simpson rule formula right out of the calculus book doesn’t tell you much took me two days to figure the real formula out which is this and uhm you write this on your paper I don’t think it’ll appear on a test too difficult but ahh probably for homework were gonna do six intervals

and change of x is b minus a, that’s the upper limit minus the lower divided by the number of intervals and that equals point eight three three and we start our calculations according to the formula and you write this all on your paper I’m gonna do it quickly here notice this is changing substituting in for x to the five plus one each time and then you sum up all the calculations if you write this on your paper your gonna look like a genius one point one two square units which is the are of that uhm definite integral pretty neat huh every step calculus dot com go to my site buy my programs and pass calculus

**Raw Transcript**

This is a video from everystepcalculus.com demonstrating how my programs work on a TI-89, Titanium calculator and other calculators in the TI system for physics and calculus problems so we’re going to do the arc length with regards to sine or cosine and ahh first of all I’m gonna do on the calculator and show you on the calculator how this works you can do arc length here you’ll notice that when you press f three function you come up with that menu you press eight and it’ll go to arc length we’re going to put in sin of x for our function and then a comma with regard to x and then a comma with regard to the ah range of zero and pi you notice it’s busy here that means it’s thinking and the takes a while hard for the calculator to do evidently and here’s the answer three point eight two units so now let’s uhm get started on my programs your going to have to put second alpha to put the letters i n d e x in here. Then press alpha again to put nine and the open and closed parenthesispress enter and we’re into my menu we’re gonna do six which is arc length of a function of f of x which which is this which sine is and we’re gonna enter the function gonna press alpha you have to push alpha before you do anything in the entry lines here enter anything in there so alplha we’re gonna put sine of x I always ask you if it’s ok ahh case you made a mistake and so here’s the arc length formula you’ll notice you’re doing the derivative squared here and the regular function is the original function is sin of x we’re gonna enter our range here over the range of alpha zero and alpha pi I again ask you if it’s ok and then we do the derivative you write this stuff all on your paper as you see itand here’s the derivative of sine of x squared over that range here’s the simpson’s rule which you have to write on your paper I don’t think this problem would ever be on a test it’s too difficult might bemight be in your homework here’s the reality of this of that formula this took me two days to figure this out probably took simpson two years without calcuators and we’re gonna do six intervals let’s take six intervals of that change of x is equal to b minus a divided by the number of itinerations that equals point five two four and that divided by three which is simpson’s rule is point one seventy five this is the change of x and you do each one of these individually it starts with zero etcetera you keep adding this in your paper and the answer is three point eight units as you sum up all these. Pretty neat huh? everystepcalculus.com. Go to my site buy my progams and pass calculus.