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Unfortunately my work, The Calculus in Perspective, has pulled me head long into the debate about the nature of the calculus. The Cauchy method teaches that integral and derivatives are limits. In my work, I view the calculus as a model that is independent of the tools used to derive the model. Limits, infinitesimals, and standard high school algebra are all valid tools for exploring the calculus. I agree that, once you have mastered the concept limits, limits are the best means for finding integrals. But the integral itself is independent of the tool used to find it.