Integration by Parts on the TI-89: Raw Transcript
This is a video from EveryStepCalculus.com
demonstrating how my programs work on a TI-89 Titanium calculator and
other calculators in the TI-89 systems for calculus and physics problems
okay
integration by parts
with regard to cosine, anytime you’re trying to integrate something and it
becomes cosine or sin
or natural log
e to the x your into integration by parts
so remember that let’s get started
You have to press second alpha to put the letters i_n_d_e_x in here then you have to
press alpha to put the 8 in and open and closed parenthesis to press enter and your
into
my
menu It’s all alphabetical were going to scroll down here to integration by parts
you want to do cosine, so we’re gonna
scroll down to.. we could press the number four here and let’s do that because the
number four and it automatically goes to cosine
integration by parts
And we’re into the program, you have to press alpha before you
put anything into these entry lines here in my programs, we’re going to press
Alpha
and put the function in here, we’re going to put uh…
the alpha 2 times
x
times
2nd cosine
of 3 times x
goes off the parentheses press enter
I always show you what you’ve entered so in case you made a mistake you can change
it
I say it’s okay I’m going to press number one here
And you notice a dv is uh… the
function that we’re going to integrate
and i show you how to do that
You just write all this down on your paper exactly like to see it
don’t even think about it
and u is 2x and du
is 2
dx
and here’s the formula here v times u minus the integral of v times d
u dx
and you place that all in here, that’s what we’re doing here
pressing the enter button to go to the next screen, write that down you can look at it
and study it.. it’s all accurate
and here’s the answer
2x sin 3x divided by 3 plus one ninth cosine of three
x plus c
pretty neat huh Every Step Calculus dot com got on my site
Buy my programs and Pass Calculus
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