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