Partial Fractions solved on the TI-89 calculator.

Full Video Transcript

Hello Tom from EveryStepCalculus.com EveryStepPhysics.com there’s been many searches for ti-89 partial fractions and I’m going to show you how that works on your titanium.

You can download these programs into your titanium and do this exactly like I do it here a miracle of programming from the inventors MIT the geniuses over there. So I’m going to show you index8() to get to my menu. I’m already at partial fractions which you would scroll to when you know the title of what you’re looking for in calculus.

And we’re gonna enter the integral and that is quite long but I’m going to do it yet to press alpha before you enter anything in these entry lines here. Alpha left parenthesis 2 times X cubed minus 4 times x squared minus 15 times X plus 5 close off the parentheses.

Divide sign more parentheses x squared minus 2 times X minus 8. Remember calculus is the sudoko math in my opinion a lot of nonsense and this is, this is certainly true of partial fractions. Now you try this without a program, you can do it if you want, not me. Press ENTER, when it’s busy you’re loading the program I always show you what you’ve entered so you can change it if you want to X cubed minus 4x squared minus 15 X plus 5.

That’s crew x squared minus 2x minus 8 that’s good, let’s say ok, and so let’s do it. First thing you do is factor the denominator here, it’s loading programs again but once it’s loaded it’s quick on your calculator but these are long programs. Because the numerator is higher than or equal to then than the denominator you have to use short division.

So 2x cubed divided by x squared is 2x and that’ll be added to the answer at the end. This is a quotient that’ll be added to the answer at the end, calculator is computing and you write all this on your paper of course. A X minus 4 B X plus 2 times the factored denominator and you get this. Write this stuff down, I’m not going to explain it to you, and x equals -2 it equals this here x equals 4. We’re solving for all the a B’s and C’s equals 1/2 and x equals 4 I do that for you amazing program.

I think a equals 3 2 3 and 3 halves here’s the answer, 3 halves over X minus 4 plus minus 1/2 over X plus 2 plus. Here’s the quotient we found with short division plus C and then we even do the integrals for you remember most of these are logs because when you have something on a denominator without an exponent it has to be a log problem. It has to be a log differentiation.

So good luck in your calculus class and subscribe to me, maybe see more videos or you can actually buy the programs and enjoy passing calculus. Have a good one.