Volume of Revolution : Edexcel Core Maths C4 January 2012 Q4 : ExamSolutions

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The roots would be + or - [(2*square root of 3)/3]j, where j is the root of -1. That's using the formula.

I don't know how that would integrate though

JoelPhilosophy
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Not that I am aware of. Can't really see the point and what would those roots be?

ExamSolutions_Maths
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No, since the denominator does not factorise

ExamSolutions_Maths
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Could you factorise it into imaginary roots and then integrate that?

Not for the sake of the exam... I'm just asking out of interest

JoelPhilosophy
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Wow, thanks for this! I was just doing this paper and came across this question and tried to use integration by parts.... It did not go down well lol XD

I'll be keeping this nifty formula in mind!

Beowulf-egli
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Should it make a difference mark-wise if I put the resulting Ln term in modulus?

Nathan-twvf
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no because the denominator doesn't separate properly

ComplexFaith
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Could this be done with integration by parts?

dorflerstrad
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could this question be done by turning the equation into partial fractions ?

TheNdubz