Integral Calculus

Integral Calculus

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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:

  1. Select the Draw / Function tool and enter f(x) in the Y= data entry box. Click OK.
  2. Use the Draw / Arc tool to trace over some portion of the function.
  3. Select the new arc - be careful not to select the whole function.  Just the section of arc should be highlighted.
  4. Choose Area Under Arc from the Construct menu.  The area between the arc and the X axis will be filled.
  5. 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.
  6. Select the area under the arc and click Calculate / Symbolic / Area.

 

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