Penn State University
Eberly College of Science
University Park, PA 16802
Office: 403 McAllister
Phone: (814) 865-3329
Fax: (814) 865-3735
Methods of Integration: Substitution
The following applet can be used to examine the substitution rule for definite integrals:
The values a, b, c and d 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 left or right. To move the center of the graph, simply drag any point to a new location. To label the x-axis in radians (i.e. multiples of pi), click on the graph and press "control-r". To switch back, simply press "control-r" again.
Here is a list of functions that can be used with this applet.
Note that the areas given by the applet are approximated via Simpson's rule with n=10,000 and are thus subject to the corresponding error bounds.
© 2007 David P. Little
Download this applet for off-line viewing (includes source code). The above applet uses the Java Math Expression Parser (JEP) developed by Singular Systems