Indefinite Integral Calculator for Ti 84

The TI-84 graphing calculator is a powerful tool for solving indefinite integrals in calculus. This guide explains how to use the TI-84 to find antiderivatives and provides a built-in calculator for quick reference.

How to Use the TI-84 for Indefinite Integrals

The TI-84 can compute indefinite integrals for a wide range of functions. To use it effectively:

Enter the integrand in the calculator's equation editor
Select the ∫ (integral) function from the MATH menu
Specify the variable of integration (usually x)
Set the lower and upper limits (leave them blank for indefinite integrals)
Press ENTER to compute the result

Note: The TI-84 will return the antiderivative plus a constant of integration (C). This represents the family of curves that have the same derivative.

Step-by-Step Guide to Using the TI-84 for Indefinite Integrals

Step 1: Enter the Function

Press the Y= button to access the equation editor. Enter your integrand in Y1. For example, to integrate x², you would enter:

Y1 = x^2

Step 2: Access the Integral Function

Press the MATH button, scroll down to the 9:fnInt( function, and press ENTER. This accesses the integral function.

Step 3: Specify Parameters

You'll be prompted to enter several parameters:

Expression: Enter the integrand (Y1)
Variable: Enter the variable of integration (x)
Lower limit: Leave blank for indefinite integrals
Upper limit: Leave blank for indefinite integrals

Step 4: Compute the Result

Press ENTER after each parameter. The calculator will display the antiderivative plus the constant of integration:

∫x² dx = (1/3)x³ + C

Common Indefinite Integral Functions on the TI-84

The TI-84 can handle a wide variety of functions, including:

Function	Antiderivative
xⁿ	(1/(n+1))x^(n+1) + C
sin(x)	-cos(x) + C
cos(x)	sin(x) + C
eˣ	eˣ + C
1/x	ln\|x\| + C

For more complex functions, the TI-84 may require you to use substitution or other techniques.

Troubleshooting Common Issues

Error: INVALID

This error typically occurs when the function cannot be integrated. Try:

Checking for syntax errors in your function
Using simpler functions first
Ensuring you're using the correct variable

Error: DOMAIN

This indicates the function is undefined at certain points. Try:

Adjusting the limits of integration
Using absolute values where appropriate
Breaking the integral into simpler parts

No Result Displayed

If the calculator doesn't show a result, try:

Pressing ENTER again
Clearing the screen and starting over
Checking your battery level

FAQ

Can the TI-84 integrate all functions?

No, the TI-84 can only integrate functions that are in its built-in library. For more complex functions, you may need to use substitution or other techniques.

What does the constant C represent?

The constant C represents the constant of integration. It accounts for the fact that indefinite integrals represent a family of curves that differ by a constant.

How do I clear the result from the TI-84?

Press the CLEAR button to clear the current result. To clear the entire equation editor, press the CLEAR button while holding the 2nd function key.