Student: Can I please get these points back?? The +C never matters! Me:pic.twitter.com/sJ6LteuaKc
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I would think the act of integrating something non-trivial would be the demonstration, not mastery of some pedantic bookkeeping. And to be fair, every integral should have a different constant. The fact that C is "an arbitrary constant" is just cargo cult.
The integration constant *is* an arbitrary constant, so I don't quite understand your cult assertion. Addressing your other concern, that's why the +C is always worth a small amount. In my experience I've found that the students whose only complaint is "+C" do just fine.
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+A, +B, -D, -(the value of the integral at zero) ... these are all valid constants. I would rather have someone that can get the hard part of an integral right, rather than someone that religiously parrots a +C even if the rest is wrong.
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I don't know what assertions you're trying to force me into saying. But if you read my responses you're changing the actual things I'm asserting.
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