Integration+on+the+Calculator

=__Integration on the Calculator__=

Calculators can be used to find the integral of functions as well. This can be done with a calculator math command or a graphing command.

__Mathematical Commands__
Press **MENU** Press **5** to open the Calculus menu, or scroll down and select the menu: 5: Calculus Press **2** to select the Integration command, or scroll down and select the Integration command. You will now see a blank Integration setup: Enter the **Lower bound** on the bottom of the Integration symbol Enter the **Upper bound** on the top of the Integration symbol Enter the **function** to be Integrated in the middlemost box Enter the **variable** of Integration (x if the the function is in terms of x, for example) in the rightmost box after the "d" Press **ENTER** and the calculator will yield an exact answer on the right of the screen //__OR__// Press **CTRL** and then Press **ENTER** to yield a decimal approximation. //Note that you can omit the Lower and Upper Bounds in order to yield an indefinite integral, where the resulting function will be displayed.//

__Graphical Commands__
Open or scroll to a "Graphs and Geometry" Tab (Press **HOME** then press **2**) After entering the function to be integrated, Press **MENU** Press **7** or scroll down to choice 7 to select the Measurement menu Press **5** or scroll down and select choice 5: Integral Move the cursor to select a lower bound of integration or type in your **Lower Bound** and press **ENTER** Move the cursor to select an upper bound or type in your **Upper Bound** and press **ENTER** A decimal approximation of the integral will appear on the graph near the desired region, and the desired region will be shaded on the graph.
 * TAB** to the bottom of the page where you may enter the needed function
 * Move** the cursor and **Select** the function to be integrated on the graph.

__Mathematical Commands__
Press **MATH** Press **9** or scroll and select choice 9: fnInt ( Enter the needed information as follows: Enter your **function** first and insert a **comma** at the end of the function, Then enter the **variable** by which to integrate followed by a **comma**, Then enter the **Lower Bound** followed by a **comma**, Then enter the **Upper Bound** and then Close the **Parenthesis** Press **ENTER**, and a decimal approximation of the integral will be yielded on the following line.

__Graphical Commands__
Press **y=** and enter your **Function** into the y1 slot Press **GRAPH** Ensure that the region being integrated is shown entirely on the screen (if not, press **WINDOW** and widen the view) Press **2nd** and then Press **TRACE** to open the Calculate menu Press **7** or scroll and select choice 7, where you will see the integration symbol. The screen will show a "Lower Limit?" prompt. Enter your **Lower Bound** and Press **ENTER** You will see an "Upper Limit?" prompt. Enter your **Upper Bound** and Press **ENTER** The desired region will be shaded and a decimal approximation will appear at the bottom of the screen.

TI 89
press second press 7 input the function comma the domain variable close paranthesis enter

Closed interval:

add another comma after the domain variable input lower bound comma input higher bound close parenthesis enter

On graph: While looking at graph press F5 press 7 input lower domain value enter input higher domain value enter