**Graphically**

Start by turning the calculator on then pressing the top left button “Y=” in order to bring up the screen which enables one to enter an equation and render it in a graphical sense. On the first line of the screen, enter the original equation that you wish to integrate, and it must be a valid elementary equation. Now to see how the graph actually looks, and to get an illustrative understanding of what this process is actually doing, click the very upper right hand button entitled “graph”. An x and y axis will appear where the equation that was previously entered will slowly draw itself to give one the opportunity to see how the different x values effect the y values. Now to actually find a specific area underneath the curve, you have to use the process of integration. First locate it by pressing the 2nd button followed by the pressing the button entitled “trace”. A screen will now appear that enables you to choose which value to find, and locating the integration symbol on the very bottom of the list, labeled under 7, click enter when it is appropriately selected. Clicking this button enables you to find the specific number for the area under a curve given a lower and upper bound. When taken back to the graphing screen, the calculator ‘asks’ for the lower bound and then the upper bound which you should now enter in. Pressing enter after doing all of this will result in a illustrative area shaded under the curve, and a numerical answer also is shown at the bottom of the screen.

**Analytically**

This is by far the quickest way to solve for an exact elementary integration problem given the equation and the bounds. The most important thing in using this method is locating the operation “fnint”. To locate this operation, simply press the math button that is two buttons below the 2nd button. Now there are four main categories but the calculator already has the correct one, math, highlighted and on the screen. By either scrolling down the list until reaching the operation “fnint” and clicking on it or by simply pressing 9 on the math screen, a blank screen will appear where you can enter in specific values pertaining to the integration. There are four necessary values that need to be entered for a successful integration and they go in this order: the equation, the variable with which you are integrating with respect to, the lower bound, and finally the upper found. So, the final screen should look something like this: “fnint(equation, respective variable, lower bound, upper bound). The commas between them show the separation so that the calculator can tell which values belong to their respective categories. After having entered this sometimes tediously long list items in your calculator, the integration is complete by finally closing the parenthesis and clicking enter. The answer that is shown is the integrated equation with respect to the given variable, and finally, the difference of the two values that are given when plugging in the upper bound and lower bound. When doing this method it’s best to write down the exact information that is input into the calculator as to verify that you do know what you are doing, but simply choose to use a “quicker” way.