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July 30, 2025, 04:41:13 am

Author Topic: When is it necessary to add "+c" when antidifferentiating?  (Read 1977 times)  Share 

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atar90please

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When is it necessary to add "+c" when antidifferentiating?
« on: August 18, 2013, 11:35:29 pm »
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Whilst studying antidifferentiation i noticed that +c was not always included on the end of the equation. Why is this?

MOD EDIT: Changed to a more informative title - 2/cos(c)
« Last Edit: August 19, 2013, 12:07:49 am by 2/cos(c) »

alondouek

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Re: Mathematical Methods (CAS)
« Reply #1 on: August 18, 2013, 11:40:40 pm »
+2
The question may have asked for "an" antiderivative. In this case, the +c is left off because +c essentially covers every possible constant added to that antiderivative, though only one is required by the question.
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atar90please

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Re: Mathematical Methods (CAS)
« Reply #2 on: August 18, 2013, 11:43:17 pm »
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Ok thank you

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Re: When is it necessary to add "+c" when antidifferentiating?
« Reply #3 on: August 19, 2013, 03:55:29 pm »
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Could marks be lost if you add a +c to a question asking for "an" antiderivative? Just being pedantic =p
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Re: When is it necessary to add "+c" when antidifferentiating?
« Reply #4 on: August 19, 2013, 05:00:53 pm »
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Could marks be lost if you add a +c to a question asking for "an" antiderivative? Just being pedantic =p

From what I hear, no. Because even with the +c it is still "an" antiderivative. The +c just becomes optional when it goes from from "the" to "an", but everyone says to put in the +c anyways.
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Re: When is it necessary to add "+c" when antidifferentiating?
« Reply #5 on: August 20, 2013, 12:41:43 am »
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Also just a reminder that whenever you guys find the general antiderivative of a function and add to the end, ensure that you write something like "" or "for any constant "
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Re: When is it necessary to add "+c" when antidifferentiating?
« Reply #6 on: August 20, 2013, 01:02:39 pm »
+2
When it says "find an anti-derivative" you don't have to add the . Technically you shouldn't, as you'd be given a family of curves, rather than a single curve (although I guess giving many counts as giving 'an' anti-derivative).

With that being said, in cases where it does say, as above, "find an anti-derivative", VCAA accepts both.
For example, Q2 on the 2012 Methods Exam 1.
Quote
Question 2
Find an anti-derivative of with respect to .
http://www.vcaa.vic.edu.au/Documents/exams/mathematics/2012/2012mmcas1-w.pdf

The assesors report gives this.
Quote
When is any real number, may be omitted.
http://www.vcaa.vic.edu.au/Documents/exams/mathematics/2012/mm1_assessrep12.pdf

In other cases you'll need to add the .

Although, for sacs and such it will depend on your teacher/who marks it.
« Last Edit: August 20, 2013, 01:06:54 pm by b^3 »
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