Calculating Definite Integral and Area

To calculate the definite integral of f(x) press the Compute ∫f & Area button. Both the definite integral and the area under the graph over a bounded interval are computed and displayed on a new window. The calculator uses Simpson's rule with a certian number of sub-intervals (normally, 1000 sub-intervals) to approximate these values.

You can change the number of sub-intervals, and if you increase the number of sub-intervals you will generally obtain more accurate approximations but it will take longer to finish the calculations.

Note: The definite integral must be a proper integral. That is, in addition to the requirment that the interval must be bounded, the function has to be bounded as well.

For example, If you try to calculate the integral of f(x) = 1/x on an interval containg 0, the result will not be accurate (improper integral).