Evaluating Integrals on your TI-89, TI-92+, or Voyage 200

Filed under Calculus, Difficulty: Easy, TI-89, TI-92 Plus, Voyage 200.

This tutorial demonstrates how to evaluate integrals using the TI-89, TI-92+, or Voyage 200 graphing calculators. Symbolic integration is one of the most powerful features of the TI-89 and makes it an extremely useful calculator for calculus.

int89 1 Evaluating Integrals on your TI 89, TI 92+, or Voyage 200

Indefinite Integrals

To evaluate an indefinite integral (one without definite limits), from the home screen press F3 to access the calculus menu, and then navigate to 2: Integrate.
int89 3 Evaluating Integrals on your TI 89, TI 92+, or Voyage 200
Press ENTER to paste the integral symbol. Then type your equation, press ,, and then type X for the variable of integration (if our integral was with respect to dy, this would be Y), and finally add a closing parenthesis ). Press ENTER to evaluate.

int89 4 Evaluating Integrals on your TI 89, TI 92+, or Voyage 200

Note that by default the calculator omits the constant of integration “+c” which normally appears after an indefinite integral.

Definite Integrals

int89 2 Evaluating Integrals on your TI 89, TI 92+, or Voyage 200

To evaluate a definite integral, from the home screen press F3 to access the calculus menu, and then navigate to 2: Integrate as before. Press ENTER to paste the integral symbol. Then type your equation, press ,, and then type X for the variable of integration. After this we must specify the limits of integration. press , and type in the lower limit, then press , again and enter the upper limit. Press ) to close the expression and ENTER to evaluate.

int89 5 Evaluating Integrals on your TI 89, TI 92+, or Voyage 200

The syntax for the integral function is (integrand, variable of integration) for indefinite integrals and (integrand, variable of integration, lower limit, upper limit) for definite integrals.


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