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/sci/ - Science & Math
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hey guys, just fyi: we've got this great board called /r9k/. it's really good and we'd enjoy it if you checked it out, posted some, and stuck around for a while. see you there! toodles~

File : 1272426054.jpg-(83 KB, 410x410, Math.jpg)

Anonymous 04/27/10(Tue)23:40 No.821295

Hey /sci/ math faggots, I have a question. So tomorrow is an exam, and honestly, I know the question WON'T be on it, BUT i'm curious as fuck, possibly just missing something simple.

So right now we're at integrals, and I was trying to find the area of x1. Generally, that seems to be impossible from how much i've been taught (the antiderivative of x1 is a constant, and the derivative of a constant is 0). But there's a way to graph derivatives by using the tangent slope as the y value, correct? For example, the slope of every tangent line of x is always 1/1, so the derivative is 1 and each y value is 1 and the derivative of 1 is 0, since the tangent line of a horizontal line is always 0, which we all know. But if I work backwards, as in each point in x1 is the tangent slope of the antiderivative, I get a lot of slopes. For example, 11 is 1, so there's a slope of 11, then 21, then 41, and so on. What does this mean, exactly? Is there something later on in my Calculus studies that i'll run into that figures this out, or am I doing something wrong?

>>	Anonymous 04/27/10(Tue)23:42 No.821308 The antiderivative of 1/x is not a constant. It is ln x.

>>	Anonymous 04/27/10(Tue)23:43 No.821311 >>821308 oh sorry for not explaining, 1/x is not a function you can apply the power rule to, if you were trying to... it requires the logarithm rule.

>>	Anonymous 04/27/10(Tue)23:43 No.821312 File1272426191.jpg-(100 KB, 487x625, Untitled.jpg) >>821295 >antiderivative

>>	Anonymous 04/27/10(Tue)23:43 No.821317 >>821311 Ah, yeah, we haven't gotten to that yet. That makes some sense, if it works with ln instead and not the power rule. Thanks.

>>	PissedOffAgnosticfag !mok4bTJn4. 04/27/10(Tue)23:44 No.821320 >>821312 easier than indefinite integral mafucka

>>	Anonymous 04/27/10(Tue)23:44 No.821321 File1272426290.jpg-(22 KB, 428x317, math - ln e.jpg) It's a logarithm bro. In fact, if you find the area under 1/x from 1 to z, then you will find out that z = e (the transcendental number).

>>	Anonymous 04/27/10(Tue)23:46 No.821331 File1272426392.jpg-(16 KB, 255x352, LaughingElfMan.jpg) >the antiderivative of 1/x is a constant >antiderivative

>>	Anonymous 04/27/10(Tue)23:46 No.821332 >>821312 Nothing wrong with antiderivative.

>>	Anonymous 04/27/10(Tue)23:48 No.821343 Derivative of ln(x) is 1/x Guess what the anti-derivative of 1/x is

>>	Anonymous 04/27/10(Tue)23:48 No.821344 >>821332 hell, wikipedia calls it antiderivative as it's main title haha http://en.wikipedia.org/wiki/Antiderivative

>>	Anonymous 04/27/10(Tue)23:50 No.821355 >>821320 It's called an integral, tardo. If you don't specify bounds it's assumed to be indefinite. >>821344 >Citing wikipedia >hahaohwow.jpg

Anonymous 04/27/10(Tue)23:50 No.821357

>>821321
Thats interesting. I'll look up ahead and see how thats proven. I was wondering because I was doing some personal practice in my head to figure some definite integrals of equations, and started on trickier equations like 1/x, and I got stuck.

Thanks bros.

I'll just polite sage since the question was answered.

>>	Anonymous 04/27/10(Tue)23:51 No.821365 >>821355 did you go to the article and see if the information is correct? it seems in order to me, I see nothing wrong with using wikipedia here :)

>>	Anonymous 04/27/10(Tue)23:52 No.821374 Go die, troll!

>>	Anonymous 04/27/10(Tue)23:53 No.821385 >>821365 >hurr wikipedia calls it that therefore it's the main name for it derpy doo

>>	Anonymous 04/27/10(Tue)23:53 No.821386 >>821355 dictionary.com better for you? http://dictionary.reference.com/browse/antiderivative The point is moot, Wikipedia is right in this case. Antiderivative and indefinite integral are interchangeable terms.

>>	Anonymous 04/27/10(Tue)23:57 No.821409 math noobs say anti-derivative, everyone else says indefinite integral.

>>	Anonymous 04/27/10(Tue)23:59 No.821430 >>821409 Well clearly OP belongs in that category, so I don't see what the problem is. The fact remains that both terms are correct

>>	Anonymous 04/27/10(Tue)23:59 No.821435 >>821409 naw only faggots call that shit integrals thats a fluent. idk even know what a derivative is u guys mean a fluxion?

>>	Anonymous 04/28/10(Wed)00:00 No.821440 I fucking hate you so much. So fucking much. Get out right now.

>>	Anonymous 04/28/10(Wed)00:01 No.821446 >>821435 I've actually never heard that before. I kind of like it.

Anonymous 04/28/10(Wed)00:01 No.821447

File1272427316.jpg-(15 KB, 323x400, calculus.jpg)

OP back here again. Question here, for people being asspained over the term "antiderivative". How many of you are using this Calculus book? From what several professors have told me, its used widely. In chapter 4.9, they do use the term "antiderivative". Is it interchangable with integrals? Oh, hell yes. But why are you bitching about it?

>>	Anonymous 04/28/10(Wed)00:03 No.821456 >>821435 lol isaac newton's vocabulary. I like integral because one integrates.

>>	Anonymous 04/28/10(Wed)00:04 No.821465 >>821447 I SAID GET THE FUCK OUT GOD DAMNIT. I WAS NOT FUCKING KIDDING. GET THE FUCK OUT.

>>	Anonymous 04/28/10(Wed)00:05 No.821470 >>821465 You're pretty fucking annoying.

>>	Anonymous 04/28/10(Wed)00:10 No.821500 What's wrong with the word antiderivative?

>>	Anonymous 04/28/10(Wed)00:11 No.821514 File1272427910.png-(350 KB, 558x441, 1267193155549.png) >antiderivative

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