I was trying to explain the meaning and greater logic of integration by parts (beyond the mechanics) to someone today, and found this beautiful "proof without words" (PDF file).
Wikipedia reproduces this beautiful visual argument in its article on integration by parts. I like it, because the argument is more than a proof, it provides deep insight which a "normal" mathematical proof may not provide.
Upon googling, I found this nice related thread on Math Overflow, and this pdf (senior project?) document.
Wikipedia reproduces this beautiful visual argument in its article on integration by parts. I like it, because the argument is more than a proof, it provides deep insight which a "normal" mathematical proof may not provide.
Upon googling, I found this nice related thread on Math Overflow, and this pdf (senior project?) document.
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