#Problem integrals

20 messages · Page 1 of 1 (latest)

pastel turtle
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Why both give differents results #p

pulsar whaleBOT
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solar spire
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You forgot the + C

pastel turtle
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Ah yes

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Thanks

solar spire
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Remembering your log rules log(3x+3) = log(3) + log(x + 1) which is valid when you account for the constant + C

plain dagger
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log xy = log x + log y is valid in the domain of log

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$$\ln |x+1| - \ln|3x+3| $$ is a constant, there is no contradiction

clever spokeBOT
plain dagger
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calculate definite integral in (a,b) where a >0, say

you get the exact same result

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@pastel turtle

autumn questBOT
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@pastel turtle

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umbral sapphire
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btw u did a mistake

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u should add the constant C at the end

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because the constant C which determines primitive u search

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for example ,if we take C = 0 for the first integral and C = -(ln3)/3 for the second integral , we will have the same primitive of the integral

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for that the constant C is verry important and u should add it, as i sad because there's an infinity of primitives.