Author Topic: Integration by Parts  (Read 7217 times)

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Offline ruler501

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Re: Integration by Parts
« Reply #15 on: November 07, 2012, 07:37:48 pm »
same reason taking the square root of something is harder then squaring it. Reversing processes is often harder then the original process. Things get even harder for integrating when you move to multiple variables. I've always liked deriving a lot more then integration though recently I've begun liking integration more. Its much more of an art like logical proof or trig identities
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Offline Juju

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Re: Integration by Parts
« Reply #16 on: November 07, 2012, 08:58:55 pm »
Yeah I learnt that just this semester too. It was some weird stuff like integrate(u*dv) = u*v+integrate(du*v) or something similar. Pretty useful when you have to integrate something hard to integrate such as ln x. You'll just have to pose u = ln x and dv = whatever else there is in the equation so du would be 1/x and v = integrate(dv), so it'll be easier to integrate stuff.

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Offline cooliojazz

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Re: Integration by Parts
« Reply #17 on: November 07, 2012, 09:03:14 pm »
Woo, Ultraviolet Voodoo! XD Oh, mnemonics... Also: Ruler, we learned integration in the second half of AB, but then didn't learn things like integration by parts till BC.  So maybe you're talking about college courses, but AP-wise, integration definitely does NOT necessarily mean you are in BC.  In fact, if you didn't learn to integrate at all, you'd be pretty much screwed on the AP test... =P
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Offline ruler501

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Re: Integration by Parts
« Reply #18 on: November 07, 2012, 09:25:23 pm »
I meant the advanced integration techniques. Most of the advanced techniques are BC only.
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Offline Adriweb

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Re: Integration by Parts
« Reply #19 on: November 08, 2012, 08:17:48 am »
Ah yeah, stuff like that : http://cedprog.pagesperso-orange.fr/prepa/math/Chap_13.pdf :P
(french isn't really important, maths matter here ^^)

Also, I made a program some time ago, that smartly makes integration by parts steps by steps, for the nspire, in basic :
http://tiplanet.org/forum/archives_voir.php?id=4481  (french and english !)

Critor also made one with a GUI and also steps by steps, in Lua, but I can't find it hosted, mayeb it's not ready yet.
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