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Mu\~noz, Vicente Integration by parts without differentiation. Math. Mag. 85, No. 3, 211-213 (2012). 2012 The Mathematical Association of America (MAA), Washington, DC EN I55

doi:10.4169/math.mag.85.3.211

Summary: We prove the classical integration-by-parts formula without using differentiation. This provides an elementary illustration that integration by parts is valid for many non-differentiable functions. The proof is simple and accessible to undergraduates.