The Area Under Arc function is a great way to show problems with the definite integral.
Here are the steps for making the integral of the generic function f(x) over the interval α to β:
- Select the Draw / Function tool and enter f(x) in the Y= data entry box. Click OK.
- Use the Draw / Arc tool to trace over some portion of the function.
- Select the new arc - be careful not to select the whole function. Just the section of arc should be highlighted.
- Choose Area Under Arc from the Construct menu. The area between the arc and the X axis will be filled.
- For each endpoint of the arc, use the Constrain / Point proportional along curve tool to define the limits of the region, e.g. select α and β from the Symbols toolbox.
- Select the area under the arc and click Calculate / Symbolic / Area.
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