David Little  
Mathematics Department Penn State University Eberly College of Science University Park, PA 16802 
Office: 403 McAllister Phone: (814) 8653329 Fax: (814) 8653735 email:dlittle@psu.edu 



The Integral of a Function
The following applet can be used to approximate the definite integral of f(t) from a to x, that is The user can also input the value of b and obtain an approximation to the definite integral of f(x) from a to b. This value is exactly the same as the value given using the Riemann Sums and the Area Under a Curve applet using the midpoint rule. The value of a and b can be changed by simply typing a new value, such as "1.2345", "pi/2", "sqrt(5)+cos(3)", etc. You may also change these values by using the up/down arrow keys or dragging the corresponding point along the xaxis. To move the center of the graph, simply drag any point to a new location. To label the xaxis in radians (i.e. multiples of pi), click on the graph and press "controlr". To switch back, simply press "controlr" again. Here is a list of functions that can be used with this applet.
Use the above applet to determine the integral of:
© 2005 David P. Little Download this applet for offline viewing (includes source code). The above applet uses the Java Math Expression Parser (JEP) developed by Singular Systems 