Texas Instruments TI-36X manual Integrals

Integrals

The TI-36X üperforms numerical integration using Simpson’s Rule. To prepare for an integral, store the lower limit in memory variable A, the upper limit in memory B, and the number of intervals (from 1 to 99) in memory C. Press 0and enter the expression, using memory variable A as the independent variable. Then press V. While the calculator is processing the data, µ CALC displays. When the calculation is successfully completed, the TI-36X üwill return the numerical value to the result line. In addition, the calculator will clear memory variable C; A and B will be equal to the upper limit. If A>B, or if C is not an integer 1-99, or if A, B, or C is undefined, Integrate Error will display, and A, B, and C will be cleared.

If you want to solve a given problem again using a different number of intervals or different limits, enter values to store in memory variables A, B, and C. Then scroll to the integration problem in history and press V; the calculator will solve the same problem with the new data.

The time the calculator takes to solve the problem depends on the complexity of the problem and the number of intervals. You can abort the calculation by pressing and holding Tuntil Integrate Error is displayed.

With polynomials up to the third degree, Simpson’s rule yields the exact answer, so increasing the number of intervals will not change the results. However, with polynomials of higher degree and equations containing more complicated functions (such as trigonometry), increasing the number of intervals will improve the precision of the results.

Note: When you perform integration with trigonometric functions, the calculator must be in radian mode.

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Ti36eng1.doc TI-36X II Manual Linda Bower Revised: 01/10/03 10:47 AM Printed: 01/10/03 10:47 AM Page 30 of 48