This site contains a tool that allows a user to check solutions to calculus exercises that involve taking integrals (definite and indefinite). It helps practicing by showing all the steps in integration. All common integration techniques and even special functions are supported.
Type of Material:
Drill and Practice
This site can be used by students who want to check their work or get help as they are learning how to use the rules of integration.
Works on any browser.
Identify Major Learning Goals:
Students will learn the step-by-step process of finding the integral of a function.
Target Student Population:
Prerequisite Knowledge or Skills:
Understanding of integration techniques.
This site allows students to enter any Riemann integrable function and will compute its definite or indefinite integral. It shows each of the steps and when the user hovers over a step it explains the rule of integration that has been used. It simplifies the expression and graphs the function and its anti-derivative on the same xy-plane. It can handle integration with respect to a single variable of functions of several variables.
There are a large number of advertisements throughout the page that can be very distracting. Some of these ads are video ads that play automatically. Although the site is free, the ads are a hefty price to pay.
Potential Effectiveness as a Teaching Tool
This tool is an excellent aid in studying integration techniques. It can be used as a part of self-guided activity or even in-class demonstration. A visual interactive graphing feature can be used while solving application problems that involve definite integrals. Since it shows the steps, students can learn about how to properly use the techniques of integration such as integration by parts, partial fractions and substitution.
Ease of Use for Both Students and Faculty
The instructions and sample functions are clear enough so that the students should easily be able to use this tool. The graphing tool is simple to read and adjust and the function entry is standard. The output is clearly written and the steps are informative. The user can also export output to a LaTeX format.
Since the ads are so aggressive, the site takes quite a while to load. If the student can focus on the center of the page, then it is fine, but a student who easily gets distracted will wander to the large number of ads. Also, it is unclear what the “Use Complex Domain” option does.
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