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June 26, 2025, 09:54:49 am
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Author Topic: Flaw in understanding? integration help  (Read 495 times)  Share 

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horizon

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Flaw in understanding? integration help
« on: May 25, 2011, 01:06:37 pm »
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Could someone please explain to me...
why:

and not:


Don't they both work?
I'm confused..
Thanks in advance.  :)
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xZero

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Re: Flaw in understanding? integration help
« Reply #1 on: May 25, 2011, 02:14:45 pm »
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They both work, but their integration constant will be different. Eg for the first 1, if we let c = 1/3loge(3) then it will become y = 1/3loge(3x).
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horizon

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Re: Flaw in understanding? integration help
« Reply #2 on: May 25, 2011, 06:03:50 pm »
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Quote from: xZero on May 25, 2011, 02:14:45 pm
They both work, but their integration constant will be different. Eg for the first 1, if we let c = 1/3loge(3) then it will become y = 1/3loge(3x).
I see...thanks.
By the way, would both be marked correctly in the exam?
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xZero

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Re: Flaw in understanding? integration help
« Reply #3 on: May 25, 2011, 06:45:57 pm »
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I'd say yes but gonna need a second opinion on this 1

On a side note, in exam if the question asks you to find an antiderivative, i dare you to put something ridiculous as C to piss the examiners off :P
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xZero

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Re: Flaw in understanding? integration help
« Reply #4 on: May 25, 2011, 07:31:39 pm »
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the second 1 will give you 1/3x when differentiated
« Last Edit: May 25, 2011, 11:27:26 pm by xZero »
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