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What a mathematical representation tells us about reasoning about integrals
Michael C. Wittmann, University of Maine,
Submitted Abstract to PERC 2011
When solving two integrals arising from the separation of variables in a first order linear differential equation, students have multiple correct choices for how to proceed. They might set limits on both integrals, use integration constants on both, or on only one equation. In each case, the physical meaning of the mathematics is equivalent. Bu…