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The College Mathematics Journal Volume 44, 2013 - Issue 4

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CLASSROOM CAPSULE

A Power Rule Proof without Limits

Colin Day[email protected]

Pages 323-324 | Published online: 28 Nov 2017

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https://doi.org/10.4169/college.math.j.44.4.323

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Summary

Without using limits, we prove that the integral of xⁿ from 0 to L is Lⁿ⁺¹/(n + 1) by exploiting the symmetry of an n-dimensional cube.

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