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#1 2007-11-13 19:29:45

Mel
Guest

Antidifferentiation

How do you antidifferentiate 8x(2x^2+5)^3

Please show workings

Thanks =]

#2 2007-11-13 23:41:54

mathsyperson
Moderator
Registered: 2005-06-22
Posts: 4,900

Re: Antidifferentiation

If all else fails, you could just expand the bracket and integrate each term separately.


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#3 2007-11-14 00:05:30

Identity
Member
Registered: 2007-04-18
Posts: 934

Re: Antidifferentiation

No shortcuts?

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#4 2007-11-14 00:07:39

luca-deltodesco
Member
Registered: 2006-05-05
Posts: 1,470

Re: Antidifferentiation

if you use substitution you can do:

if you don't understand the integration step, note that:

if you then check by differentiating using chain rule you get:

Last edited by luca-deltodesco (2007-11-14 00:12:50)


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