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Integration

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53 views1 page

Integration

Uploaded by

Brady
Copyright
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Integration with the TI-89

Z b
To find the value of f (x) dx using the TI-89, first go to F3: Calc and select
a
R
2: ( integrate Complete the command line in the following form:
R
(f(x), x, a, b)
The value will be found exactly, if possible; otherwise, an approximation method will be
used. If the limits a and b are left out of the command, the TI-89 will find the expression
for the anti-derivative of f , if possible.

Example: To find the area under one arch of the curve y = sin(x2 ) enter

(sin(x2 ), x, 0, π ∧ (1/2))
R

The result is .894831.

Exercise: Find the volume generated if the region indicated in the example is revolved
about:
a. the x-axis
b: the y-axis
[Answers: a. .669875π by the disk method
b. 2π by the shell method]

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