This site is basically an online definite/indefinite triple integration calculator, where the user can create a function and choses the limits of integration.
Students can practice with evaluating both definite and indefinte triple integrals where students can understand and execute the sequential process of integrating three distinct variables sequentially.
Target Student Population:
Students in the third semester of Calculus class and/or other related classes, and students who successfuly completed Calculus II, and currently enrolling in Calculus III.
Prerequisite Knowledge or Skills:
Calculus II.
Content Quality
Rating:
Strengths:
This site is accurate and relavent, and it provides all needed mathematical symbols, and it provides users with an online calculator that finds indefinite and definite triple integrals. The tool accurately processes multi-variable functions (e.g., f(x, y, z) = x y z) and successfully tracks variable order (dx, dy, dz) through successive iterations. The user enters an integrand using the symbolic or text modes (or picks a common function from the attached table). After that the calculator generates the answer.
Concerns:
The tool is supposed to show a step-by-step solution but is currently in beta-mode and is disabled. Unfortuntely, it does not show the steps for the solutions, which limits the learning depth for users. Also, while the tool excels at standard Cartesian coordinates, it requires students to manually apply the Jacobian determinant (e.g., cylindrical or spherical) when changing coordinate systems. If the site can provide an automated integration for cylindrical/spherical fields would be a great improvement to this site.
Potential Effectiveness as a Teaching Tool
Rating:
Strengths:
Both teacher and student can use this site in a Calculus III course as a teaching aid to demonstrate the concept of triple integration. The interactive visual keypad reduces basic syntax errors, allowing students to focus on setting up the correct limits of integration rather than fighting with text formatting. It also helps students to check their answers for homeworks.
Concerns:
This site has two weakneses: First. the lack of visusalization tool such as 3D graphing to visualize the bounding region of integration. For complex regions, the teacher needs to pair this tool with a geometric visualizer like GeoGebra to help students master limit bounds. Second, no step-by-step solutions are currently provided.
Ease of Use for Both Students and Faculty
Rating:
Strengths:
Easy to access and follow with helpful calculator pad. Both teachers and students can access this site easily using the provided helpful calculator pad (panel) by separating variables x, y, z and incorporating basic, trig, and hyperbolic sub-menus, which provides a zero-learning-curve entry point. The interface functions cleanly in a standard browser without requiring installation, accounts, or heavy plugins.
Concerns:
Absence of a step-by-step feature is confusing and disappointing.
Creative Commons:
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