# Trapezoidal Rule Calculator on the TI-89

## Video Transcript

Hello welcome back to calculus step-by-step programs. I’m Tom the owner and and inventor of these programs. When I was, in course calculus… so EveryStepCalculus.com EveryStepPhysics.com.

By the way go to the, go to the right of this program if you’re watching it and impress that little square box on the right corner here, where you can subscribe you know. Because I need subscription people to be able to edit my program is better, you need a thousand of them and I don’t have that yet.

But anyway, let’s finish entering this function here. This is X minus 1, close off the parentheses, to the second power. All right looks good. I’m gonna enter the range alpha, what is it range? f4 to to and alpha 3 looks good . And they wanted over 4 intervals alpha 4.

Now here’s the trapezoidal rule formula right here. Notice this guy doesn’t give you that, he says, oh recall that the area of the trap yeah we recall that, uh we got up this morning and knew this formula just like off the top of our heads right there you know.

H height times the base you know, you’ve got two bases here. I wonder if this is swear words here with the **** here. Use the value of a trapezoidal rule the N equals four approximate that, swear word, the integration is from two to three I don’t know what he did there.

My calculus book is filled with bad language against calculus. Calculus is just a million sudoku puzzles it solves nothing useful. Or crossword puzzles solve nothing useful same thing. So let’s do this one here now you’re gonna study maybe a week on this problem to be able to do this by memory probably then you couldn’t even accomplish it.

That’s the reason I wrote wrote programs for it. Now you’ll be able to do it for the rest of your life if you buy my programs. So change of X is B minus a divided by n okay? There it is, 1/4 write down everything you see on your paper or test because everything is scored on partial credit on calculus and physics.

Whatever you can put down that is relevant, gives you a couple of points and those points make you better than the rest of the class ok and that’s what you want to get. We’re gonna compute the intervals that N equals four we start, you put this down here just like this XO x1 x2 we equal the a equals the 2.

Go down just like the list okay? You can imagine the work in programming this problem okay? Replacing the function okay you’re safe okay we’re gonna place F of two and we’re gonna put it into the function here. One divided by the X the quantity X minus 1 squared and figure out what that value is okay?

So we do that for all the values and f it was nine fourths like we found before etc . Trapezoidal approximation is the change of X divided by two times f of a and this right all the way down here. Here’s the end of the brackets. Here look at the numbers we’re getting into here now, you could do they couldn’t you? You just sit there and rip out these numbers off your calculator just like Newton, no problem .

And the answer is this divided by this 0.5 over 9 square units you know ? Well you found the area of a trapezoid. Wow let’s go out and have a beer okay? Hey go to my site buy my programs.

If you need help in calculus I’m here, you send me your test study material and I’ll make sure that they work for you. I’ll get right back to you and show you how to work my programs and how to do it and you will pass calculus. And don’t waste any time studying this stuff okay? You have more important things to do in life. This is worthless stuff, algebra and this is worthless.

So be smart buy my programs and pass calculus simple as that and you’ll have it for the rest of your life, if you don’t destroy the calculator somehow. So anyways have a good one okay? Don’t forget to subscribe for me, thank you!

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