Question about Texas Instruments TI-89 Calculator

# How do I enter: 0.0665[integral from 48 to 60](e^(-0.0139(x-48)^2)dx into a ti-89

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.0665 2ND 7 (-) .0139 ( X - 48 ) ^ 2 ) , X , 48 , 60 )

The "(-)" is the change-sign key between the decimal point and ENTER.
"X" is the letter X below HOME.

Posted on Feb 07, 2010

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I do not think that the TI89 Titanium is bale to perform this calculation in the exact mode or the approximate one. Anyway, the command line appears at the bottom of the screen. It is continued in the second screen.

However if you want the value, here it is.

Posted on Feb 10, 2010

• k24674 Feb 10, 2010

OOPS; the word "bale" should read "able"

• k24674 Feb 12, 2010

When the TI92 (similar to the TI89Titanium as egards the OS) failed to calculate your integral and found a divergent result, I was puzzled and switched to the TI-Nspire CAS. However I was feeling unesase in the back of my mind: Why did the integral diverge?
Then I thought about using the obvious change of variable which would reduce the number of expressions that the calculator has to handle. And that simple change allowed the calculator to find the result.

CHANGE OF VARIABLE
Let X=x-48, then dX=d(x-48)=dx
The lower limit of integration in X becomes 0 and the upper limit of integration becomes 60-48=12.
Now the integral takes the form you see in the screen capture below, and the result is on the right.

When configured to do exact calculations, the calculator failed to find a result (top of screen), but in Auto or Approximate modes, the result was found. Here the FLOAT was set to 12 decimal digits.

Conclusion: Don't just start typing expressions in calculator, but always strive to take advantage of any simplifications before hitting the EXE or = key.

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Posted on Jan 02, 2017

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## Related Questions:

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Don't spell it out. Use the integral sign, available by pressing 2nd then 7.

For this example, press 2nd 7 2nd Y X ) , ) ENTER

2nd 7 gets you the integral, 2nd Y gets you the sine.

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### Why wont my ti-89 integrate

It ts easy to find solution for this problem. Type int(sin(377x-1.231),x,0.299,3.94)
See captured image below

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### How to calculate a finite integral

Press 2ND MATH to bring up the Math menu. Select "Calculus" and then "integrate." Enter the expression, the variable of integration, the lower limit, and the upper limit, separated by commas. Close the final paren and press ENTER or diamond ENTER.

For example, to calculate the integral from 0 to pi of sin(x) dx, you want

INT(sin(x),x,0,pi)

where INT is the integral sign and pi is the lower-case Greek pi.

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### I am having trouble figuring out why my ti 89 has trouble figuring out integrals. for example i know that the integral of x^2 is x^3/3+c but my ti 89 gives me the answer in a decimal of fraction form. i do...

The calculator does not give a result of an integration with a constant. The form of the result will depend ob the EXACT/APPROXIMATE mode you have selected.
In the following screen capture, your integral has been evaluated with mode set to EXACT,AUTO, and APPROXIMATE. Pay attention to the syntax.

To set the computational mode to EXACT, press the MODE button use the Function keys F1,F2 or F3 to move from page to page, point to EXACT/APPROX and use the right arrow key to unfold the submenu, then the Up or Down arrow to select AUTO, EXACT or APPROXIMATE and press ENTER to SAVE Configuration.
If the integral cannot be found in EXACT mode, the calculator will echo the command without calculating the integral.

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### TI 89 when solving equations or integrating a message appears:

With the ALPHA keyboard, Type in the NewProb command and press ]ENTER] It resets the one-letter variables to their default status.
Alternatively, you can use the CATALOG of commands to launch the NewProb command.
Another way is
In HOME directory, press the [2nd][F1] to activate the F6 key. In the menu list, press 1:Clear a-z and ]ENTER].
If you have to use the variable x multiplied by a function (sin, cos, tan, log, etc) do not used implied multiplication: enter the [*] explicitly.

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### Can i calculate calculus using fx-991ms

If you want to get an answer like 1/2X for d/dx(X^2), you will have to purchase a CAS calculator like Casio's Algebra FX-2 or Classpad. TI series calculators also have CAS.
However, you can calculate the numerical values of derivatives and integrals only.
To calculate the value of a proper integral:

1. Press the 'ON' key;
2. Press the Integral key ;
3. Enter your expression (example X^2+X-3 etc);
4. Press the 'comma' key after your expression;
5. Input the first limit after comma, input comma again after first limit;
6. Close brackets;
7. Press the equals key, display may return after a while with the answer.
for eg to calculate xdx from 0 to 2, input as follows:

dx(X,0,2)

To calculate derivative at a point:

1. Press Shift and then the integration key.
3. Input comma;
4. input the point at which you want to evaluate the derivative;
5. Close bracket and press enter.
Example, to calculate d/dx X^2 at 3 input:

SHIFT+dx key X^2,3)

Display looks like this: d/dx(X^2,3).

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### I am trying to find the integral to x*sinx on my ti-89 but everytime I get an argument error message. Is there a different x button other than the obvious big white x button?

Hello,
Here is a screen capture of the integral.

The dummy variable x may contain some previously defined value. Clear old values . In Home folder [2nd][F6: Clean Up][ 1:Clear a-z] [ENTER][ENTER] or [2:NewProb][ENTER][ENTER]
Make sure you insert the multiplication sign. And do not forget to put the argument x of the function inside parentheses.
Hope it helps.

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### I can't differentiate a function and I'm quite

Hello,
Clearly the x variable stores value zero. Press [F6] ( 1:clear a-z) [ENTER] and restart your derivative.
Hope it helps.

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### When I differentiate or integrate using TI-89, i get in solution sometimes 0h0 or 0HFFFF, what do these mean?

Hello,

You calculator is set to base mode Hexadecimal (numeration in base 16). Change this mode to decimal.
Press [MODE] [F2] you get the base setting at the bottom of the screen. Press [Right arrow] and select 1 (dec)
At this point Enter to save configuration.

Hope it helps

Sep 04, 2009 | Texas Instruments TI-89 Calculator

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