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Simpsons Rule Showing All Steps

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Hello, Tom from everystepcalculus.com, everystepphysics.com, problem regarding Simpsons Rule, person on Yahoo submitted and I’m gonna answer it on my programs. Index 8 to get to my menu. I’ve already scrolled at Simpson’s Rule, choose that, gonna add the function. You have to press alpha before you enter any of the functions in here. Anything in there, as far as variables, etcetera. So the function is alpha parenthesis 1 plus 3 times X to the X divided by 2. Here we show you what you’ve entered, you can change it if you want. This has turned into the proper formation, instead of 1+3x, you have 3x+1. You hit math, say it’s okay. And the range is given as alpha 0 and alpha 1. And he has the interval as 5, but you can’t use odd intervals in Simpsons Rule, you must use even intervals. And the more intervals you get the closer it comes to the exact approximation of the interval of the function, which we do in other ways, we don’t need the Simpson Rule, but this is another calculus endeavor. So I’m gonna use alpha 6. Say it’s okay, here’s the formula, which you write down on your paper exactly like that, and delta x, which is b minus a, divided by n, equals 1/6. Compute the intervals, at n=6 we’re gonna take delta x times these multiplication entities all the way up to six. Come up with these values here. Then, we substitute those into the original function, it’s a little bit off the screen here, I can’t do anything about that, but you can fill in the blanks there. You can see that each one of those intervals is substituting for x in here. I have quotations, you’re gonna use parenthesis. You’re gonna do it all the way till the last interval is done and here’s the computations. Use delta x divided by 3, which is in the formula, and then these are the computations of each one of the substitutions into the original function. And here’s the answer: 1.33545 is the answer. Pretty neat, huh? everystepcalculus.com. Have a good one!

Simpsons Rule on TI89

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For more info and videos visit our Simpsons Rule master resource page.

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hello Tom from every step calculus dot com every step physics dot com problem in calculus I involving the simpson approximation system I’ll finding the area under a curve you and I’m let’s do it index eighty it to my menu I’m a scroll up to go to the s section which is simpson alphabetical Simpson’s rule there is there and we’re actually doing the integral you know a definite integral here a to be and simple way of doing it and then simpson or makes it hard n some more nonsense and now home a lotta calculations do the same thing his calculus is famous for arm surrender a function function is if the press of the freeman or anything in the central issue in my programs also for minus X square I’ll show you what you know you can change it if you want and the range given is alpha for and alpha 6 now looks pretty good we can say that’s okay in the intervals given they wanted from 6 a.m. alpha six and here’s the formula for Simpson’s rule here make the same your paper s exactly what it is you look like a genius and the change in taxes Delta X course B-minus a divided by and which is one-third and at an equal six we’re gonna do find out the X values x0 in the collection not original X is a a the 4s the lower it interval and then x1 you write notes Fort 1303 Asus computer says a less the changeover dealt actual to just computer times one at times to et cetera and we do that for the six inch wheels me play certain function turns out to be true placing me effort for into the function here -12 minus 133 over nine -1 sixty over nine -21 -2 2009 -2 53 overnight and -32 and so we’re gonna uses simpson proxy nation to to do this in a row here and that someone is this right here after me and then four times exit 12 times except you four times exit 32 times except for four times exit 5 and 5b rfb turns out to be these calculations write this on your paper
answers -1 28 over three -40 2.7 and of course you do if you do the definite integral that integrate thats exactly which can you can come up with your also pretty neat how every step calcaneus dot com go to my site by my program if you wanna past calculus and i subscribe if you want to see more videos have a good one

Simpsons Rule Test Question

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Hello everyone, this is Tom from everystepcalculus.com, everystepphysics.com. Calculus problem regarding a Simpsons rule test question and a quad root problem. Let’s do it. Index 8 to get to my menu. I’m gonna go up to get to the bottom of the alphabet to get to the S’s, where Simpson’s rule is in my menu. At the T’s now… There’s Simpsons. Gonna enter our function. You have to press Alpha before you enter anything into these entry lines here, alpha 2 times X to the 1 divided by 4. Looks like a good function, we’re gonna enter the range, Alpha 0, Alpha 8. Intervals we’re gonna enter as alpha 8. There’s the formula for Simpson’s rule. We do the change of X first, write this on your paper you’ll look like a genius. We do the intervals all the way up to 8, just like you see it here and then we place those into the function. Write down everything you see here on your paper, and so when we do the definite integral of 0 to 8 with this function and use the Simpson’s rule for approximation, here’s what you’re putting down on your paper. Don’t slop anything off of it. And then you substitute those values we got before, you add them up, and it comes to 63.5, and you multiply times one third. Here’s the answer. Pretty neat, huh? Everystepcalculus.com, go to my site, buy my programs, and pass calculus. Have a good one.

Simpsons Rule on TI-89 App | Every Step Calculus Video

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Simpsons Rule on 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

Arc Length Calculus Video | y=sin(x) | Simpson’s Rule on the TI89

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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.