#Why when we integrate with indefinite integrals, it's important to put a constant at the end

20 messages · Page 1 of 1 (latest)

harsh iris
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Hello, can someone explain the importance of the constant added when we integrate indefinite integrals pls, what would happen if we omit them or what would this imply?

gritty wingBOT
somber niche
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like uk the differential of $x^{2}+2$, or $x^{2}+3$, or something like $x^{2}+n \forall n \in R $

pine surgeBOT
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Dhairya

somber niche
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WILL BE THE SAME- 2x

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it doesnt matter what the constant is

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hence the integral of 2xdx over from $-\infty$ to $+\infty$ would be $x^{2}+c$

pine surgeBOT
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Dhairya

somber niche
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not just $x^{2}$

pine surgeBOT
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Dhairya

harsh iris
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yeah I see, so the c is there to cater that there can be any constant, like c represent a specific "family" of number?

somber niche
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except belonging to the complex no.s ig

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no other exception

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c just belongs to R

harsh iris
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yeah I see

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ty !

somber niche
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close this by typing .close

harsh iris
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.close