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u0x2a reacted to wrobel's post in the thread Undergrad Ambiguity of the term "indefinite integral" with
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##\mathbb{R}^\mathbb{R}## is the space of all functions from ##\mathbb{R}## to ##\mathbb{R}##. What do you mean by writing... -
u0x2a replied to the thread Undergrad Ambiguity of the term "indefinite integral".Thanks for the book idea. Where have you seen that definition? I haven't studied much math beyond intro calculus courses so I'm not... -
u0x2a reacted to wrobel's post in the thread Undergrad Ambiguity of the term "indefinite integral" with
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I still do not understand what's wrong with the standard $$\int f(x)dx:=\{F\in C^1(a,b)\mid F'(x)=f(x),\quad x\in(a,b)\},$$ $$\quad f\in... -
u0x2a reacted to mathwonk's post in the thread Undergrad Ambiguity of the term "indefinite integral" with
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Exactly for the reason you point out, one should not, in my opinion, ever assume there is a universal definition for any mathematical... -
u0x2a reacted to PeroK's post in the thread Undergrad Ambiguity of the term "indefinite integral" with
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The indefinite integral is an equivalence class of antiderivatives. The integral ##\int_a^x f(t) dt## is a function of ##x##. Or, a... -
u0x2a replied to the thread Undergrad Ambiguity of the term "indefinite integral".So the question I'm trying to ask is purely semantic. I'm comfortable solving problems but it's often unclear to me what another...