Go to our master page for Simpsons Rule for more helpful info and step by step tutorial videos.
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!